You win a lottery that will pay you $$29,911$ at the end of every year for the next $24$ years. If you take all of the lottery payments and deposit them in an account that earns $6\mathrm{.}8$ percent annual interest, what will be the balance of the account after the last lottery payment?

$($Do not round any intermediate calculations. Round your final answer to $2$ decimal places and enter it in the box below.$)$