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Finding the Fourth Proportional to 395,829.72, 593,854.92 and 129,607.20

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Solution

The fourth proportional to 395,829.72, 593,854.92 and 129,607.20 is: 194,446.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,829.72 : 593,854.92 = 129,607.20 : x
  2. Step 2: Convert to fraction form
    395,829.72/593,854.92 = 129,607.20/x
  3. Step 3: Cross multiply
    395,829.72x = 593,854.92 × 129,607.20
  4. Step 4: Simplify right side
    395,829.72x = 76,967,873,387.42
  5. Step 5: Solve for x
    x = 76,967,873,387.42/395,829.72
  6. Step 6: Final answer
    x = 194,446.93

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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.