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Finding the Fourth Proportional to 493,806.80, 740,537.40 and 257,070.80

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Solution

The fourth proportional to 493,806.80, 740,537.40 and 257,070.80 is: 385,516.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,806.80 : 740,537.40 = 257,070.80 : x
  2. Step 2: Convert to fraction form
    493,806.80/740,537.40 = 257,070.80/x
  3. Step 3: Cross multiply
    493,806.80x = 740,537.40 × 257,070.80
  4. Step 4: Simplify right side
    493,806.80x = 190,370,541,847.92
  5. Step 5: Solve for x
    x = 190,370,541,847.92/493,806.80
  6. Step 6: Final answer
    x = 385,516.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.