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Finding the Fourth Proportional to 460,432.60, 690,125.17 and 280,120.55

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Solution

The fourth proportional to 460,432.60, 690,125.17 and 280,120.55 is: 419,862.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,432.60 : 690,125.17 = 280,120.55 : x
  2. Step 2: Convert to fraction form
    460,432.60/690,125.17 = 280,120.55/x
  3. Step 3: Cross multiply
    460,432.60x = 690,125.17 × 280,120.55
  4. Step 4: Simplify right side
    460,432.60x = 193,318,242,189.24
  5. Step 5: Solve for x
    x = 193,318,242,189.24/460,432.60
  6. Step 6: Final answer
    x = 419,862.20

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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.