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Finding the Fourth Proportional to 392,677.25, 588,470.94 and 178,922.78

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Solution

The fourth proportional to 392,677.25, 588,470.94 and 178,922.78 is: 268,135.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,677.25 : 588,470.94 = 178,922.78 : x
  2. Step 2: Convert to fraction form
    392,677.25/588,470.94 = 178,922.78/x
  3. Step 3: Cross multiply
    392,677.25x = 588,470.94 × 178,922.78
  4. Step 4: Simplify right side
    392,677.25x = 105,290,853,591.66
  5. Step 5: Solve for x
    x = 105,290,853,591.66/392,677.25
  6. Step 6: Final answer
    x = 268,135.86

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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.