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Finding the Fourth Proportional to 392,236.68, 588,279.78 and 152,350.32

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Solution

The fourth proportional to 392,236.68, 588,279.78 and 152,350.32 is: 228,496.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,236.68 : 588,279.78 = 152,350.32 : x
  2. Step 2: Convert to fraction form
    392,236.68/588,279.78 = 152,350.32/x
  3. Step 3: Cross multiply
    392,236.68x = 588,279.78 × 152,350.32
  4. Step 4: Simplify right side
    392,236.68x = 89,624,612,732.53
  5. Step 5: Solve for x
    x = 89,624,612,732.53/392,236.68
  6. Step 6: Final answer
    x = 228,496.26

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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.