Larsen Company began the current year with balances in accounts receivable and allowance for doubtful accounts of $$51,200$ and $$3,240,$ respectively. The company reported credit sales of $$478,000$ during the year, collected $$502,200,$ and wrote off $$3,000$ of uncollectible accounts. Larsen Company estimates that $10\%$ of its accounts receivable balance will be uncollectible. Determine the balance in the allowance for doubtful accounts as of the end of the current year.