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Finding the Fourth Proportional to 384,892.86, 577,174.10 and 132,198.78

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Solution

The fourth proportional to 384,892.86, 577,174.10 and 132,198.78 is: 198,241.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,892.86 : 577,174.10 = 132,198.78 : x
  2. Step 2: Convert to fraction form
    384,892.86/577,174.10 = 132,198.78/x
  3. Step 3: Cross multiply
    384,892.86x = 577,174.10 × 132,198.78
  4. Step 4: Simplify right side
    384,892.86x = 76,301,711,206.60
  5. Step 5: Solve for x
    x = 76,301,711,206.60/384,892.86
  6. Step 6: Final answer
    x = 198,241.43

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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.