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Finding the Fourth Proportional to 527,796.30, 727,781.20 and 392,082.02

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Solution

The fourth proportional to 527,796.30, 727,781.20 and 392,082.02 is: 540,644.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,796.30 : 727,781.20 = 392,082.02 : x
  2. Step 2: Convert to fraction form
    527,796.30/727,781.20 = 392,082.02/x
  3. Step 3: Cross multiply
    527,796.30x = 727,781.20 × 392,082.02
  4. Step 4: Simplify right side
    527,796.30x = 285,349,923,329.55
  5. Step 5: Solve for x
    x = 285,349,923,329.55/527,796.30
  6. Step 6: Final answer
    x = 540,644.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.