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Finding the Fourth Proportional to 413,219.28, 619,807.05 and 132,714.66

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Solution

The fourth proportional to 413,219.28, 619,807.05 and 132,714.66 is: 199,064.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,219.28 : 619,807.05 = 132,714.66 : x
  2. Step 2: Convert to fraction form
    413,219.28/619,807.05 = 132,714.66/x
  3. Step 3: Cross multiply
    413,219.28x = 619,807.05 × 132,714.66
  4. Step 4: Simplify right side
    413,219.28x = 82,257,481,906.35
  5. Step 5: Solve for x
    x = 82,257,481,906.35/413,219.28
  6. Step 6: Final answer
    x = 199,064.97

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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.