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Finding the Fourth Proportional to 384,777.31, 577,174.17 and 132,056.71

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Solution

The fourth proportional to 384,777.31, 577,174.17 and 132,056.71 is: 198,087.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,777.31 : 577,174.17 = 132,056.71 : x
  2. Step 2: Convert to fraction form
    384,777.31/577,174.17 = 132,056.71/x
  3. Step 3: Cross multiply
    384,777.31x = 577,174.17 × 132,056.71
  4. Step 4: Simplify right side
    384,777.31x = 76,219,721,987.18
  5. Step 5: Solve for x
    x = 76,219,721,987.18/384,777.31
  6. Step 6: Final answer
    x = 198,087.88

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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.