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Finding the Fourth Proportional to 413,098.12, 619,517.58 and 132,553

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Solution

The fourth proportional to 413,098.12, 619,517.58 and 132,553 is: 198,787.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,098.12 : 619,517.58 = 132,553 : x
  2. Step 2: Convert to fraction form
    413,098.12/619,517.58 = 132,553/x
  3. Step 3: Cross multiply
    413,098.12x = 619,517.58 × 132,553
  4. Step 4: Simplify right side
    413,098.12x = 82,118,913,781.74
  5. Step 5: Solve for x
    x = 82,118,913,781.74/413,098.12
  6. Step 6: Final answer
    x = 198,787.91

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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.