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Finding the Fourth Proportional to 364,055.10, 546,082.65 and 257,766.90

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Solution

The fourth proportional to 364,055.10, 546,082.65 and 257,766.90 is: 386,650.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,055.10 : 546,082.65 = 257,766.90 : x
  2. Step 2: Convert to fraction form
    364,055.10/546,082.65 = 257,766.90/x
  3. Step 3: Cross multiply
    364,055.10x = 546,082.65 × 257,766.90
  4. Step 4: Simplify right side
    364,055.10x = 140,762,031,834.29
  5. Step 5: Solve for x
    x = 140,762,031,834.29/364,055.10
  6. Step 6: Final answer
    x = 386,650.35

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