Every day a random identifying number is drawn, and the citizen selected has their wealth neutralized. If they have a positive net worth, the excess is taken and put into the lottery’s pool. If they have a negative net worth, the balance is cleared using funds from the pool.
In this world, anyone could instantly be saved or ruined. The rich may be more sympathetic to those without, knowing that they could be there on any given day. The very impoverished might have more hope, too.
Of course, the lottery system would have to be iron clad and unquestionable, to prevent the rich from buying or bribing their way out of it.