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Finding the Fourth Proportional to 392,132.64, 588,198.96 and 181,742.88

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Solution

The fourth proportional to 392,132.64, 588,198.96 and 181,742.88 is: 272,614.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,132.64 : 588,198.96 = 181,742.88 : x
  2. Step 2: Convert to fraction form
    392,132.64/588,198.96 = 181,742.88/x
  3. Step 3: Cross multiply
    392,132.64x = 588,198.96 × 181,742.88
  4. Step 4: Simplify right side
    392,132.64x = 106,900,973,003.41
  5. Step 5: Solve for x
    x = 106,900,973,003.41/392,132.64
  6. Step 6: Final answer
    x = 272,614.32

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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.