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Finding the Fourth Proportional to 392,452.75, 588,766.88 and 143,134.75

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Solution

The fourth proportional to 392,452.75, 588,766.88 and 143,134.75 is: 214,734.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,452.75 : 588,766.88 = 143,134.75 : x
  2. Step 2: Convert to fraction form
    392,452.75/588,766.88 = 143,134.75/x
  3. Step 3: Cross multiply
    392,452.75x = 588,766.88 × 143,134.75
  4. Step 4: Simplify right side
    392,452.75x = 84,273,000,177.08
  5. Step 5: Solve for x
    x = 84,273,000,177.08/392,452.75
  6. Step 6: Final answer
    x = 214,734.13

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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.