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Finding the Fourth Proportional to 574,076.52, 861,119.12 and 200,099.88

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Solution

The fourth proportional to 574,076.52, 861,119.12 and 200,099.88 is: 300,151.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,076.52 : 861,119.12 = 200,099.88 : x
  2. Step 2: Convert to fraction form
    574,076.52/861,119.12 = 200,099.88/x
  3. Step 3: Cross multiply
    574,076.52x = 861,119.12 × 200,099.88
  4. Step 4: Simplify right side
    574,076.52x = 172,309,832,577.71
  5. Step 5: Solve for x
    x = 172,309,832,577.71/574,076.52
  6. Step 6: Final answer
    x = 300,151.33

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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.