Duckett put on 158 in 155 balls with Joe Root, who contributed 68 off 78 balls, but England lost their way slightly from 200 for two after 30 overs and Inglis made sure it was an insubstantial total as Australia set a new record for the highest chase at an International Cricket Council 50-over event.
Yorkshire-born Inglis put on 146 in 116 balls with 2023 Ashes pantomime villain Alex Carey, who hit 69 off 63 balls, as Ben Duckett's 165 off 143 deliveries in England's 351 for eight was put in the shade.
England took advantage of Australia being without Pat Cummins, Mitchell Starc and Josh Hazlewood as Duckett amassed the best individual total at this event, letting his bat do the talking after being criticised for his indifference as Jos Buttler's side careered to a 3-0 ODI series loss to India.
England neglected to review a close lbw shout off Rashid when Inglis was on 10 and he made hay alongside Carey, the pair dealing with Livingstone and Root - combining as England's fifth bowler - with aplomb.
After Australia lurched to 136 for four in pursuit of 352, Josh Inglis muscled 120 not out off 86 balls to seal a five-wicket win and consign England to a 17th loss in 24 ODIs, including all of the last five.
