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Finding the Fourth Proportional to 413,595.52, 619,998.96 and 132,915.52

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Solution

The fourth proportional to 413,595.52, 619,998.96 and 132,915.52 is: 199,246.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,595.52 : 619,998.96 = 132,915.52 : x
  2. Step 2: Convert to fraction form
    413,595.52/619,998.96 = 132,915.52/x
  3. Step 3: Cross multiply
    413,595.52x = 619,998.96 × 132,915.52
  4. Step 4: Simplify right side
    413,595.52x = 82,407,484,167.86
  5. Step 5: Solve for x
    x = 82,407,484,167.86/413,595.52
  6. Step 6: Final answer
    x = 199,246.56

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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.