On January $1,$ The Parts Store had a $$460,000$ inventory at cost$.$ During the first quarter of the year, it purchased $$1,600,000$ of merchandise, returned $$23,600,$ and paid freight charges on purchased merchandise totalling $$38,100.$ During the past several years, the store$$s gross profit on sales has averaged $25\%.$ Under the assumption the store had $$2,010,000$ of sales during the first quarter of the year, use the gross profit method to estimate its inventory at the end of the first quarter.