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Finding the Fourth Proportional to 392,061.60, 588,265.20 and 181,591.20

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Solution

The fourth proportional to 392,061.60, 588,265.20 and 181,591.20 is: 272,466.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,061.60 : 588,265.20 = 181,591.20 : x
  2. Step 2: Convert to fraction form
    392,061.60/588,265.20 = 181,591.20/x
  3. Step 3: Cross multiply
    392,061.60x = 588,265.20 × 181,591.20
  4. Step 4: Simplify right side
    392,061.60x = 106,823,783,586.24
  5. Step 5: Solve for x
    x = 106,823,783,586.24/392,061.60
  6. Step 6: Final answer
    x = 272,466.84

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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.