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Finding the Fourth Proportional to 392,429.30, 588,687.15 and 143,165.30

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Solution

The fourth proportional to 392,429.30, 588,687.15 and 143,165.30 is: 214,763.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,429.30 : 588,687.15 = 143,165.30 : x
  2. Step 2: Convert to fraction form
    392,429.30/588,687.15 = 143,165.30/x
  3. Step 3: Cross multiply
    392,429.30x = 588,687.15 × 143,165.30
  4. Step 4: Simplify right side
    392,429.30x = 84,279,572,435.90
  5. Step 5: Solve for x
    x = 84,279,572,435.90/392,429.30
  6. Step 6: Final answer
    x = 214,763.71

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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.