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Finding the Fourth Proportional to 347,897.60, 522,019.20 and 137,542.40

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Solution

The fourth proportional to 347,897.60, 522,019.20 and 137,542.40 is: 206,381.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,897.60 : 522,019.20 = 137,542.40 : x
  2. Step 2: Convert to fraction form
    347,897.60/522,019.20 = 137,542.40/x
  3. Step 3: Cross multiply
    347,897.60x = 522,019.20 × 137,542.40
  4. Step 4: Simplify right side
    347,897.60x = 71,799,773,614.08
  5. Step 5: Solve for x
    x = 71,799,773,614.08/347,897.60
  6. Step 6: Final answer
    x = 206,381.92

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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.