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Finding the Fourth Proportional to 494,425.12, 741,044.40 and 227,819.68

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Solution

The fourth proportional to 494,425.12, 741,044.40 and 227,819.68 is: 341,456.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,425.12 : 741,044.40 = 227,819.68 : x
  2. Step 2: Convert to fraction form
    494,425.12/741,044.40 = 227,819.68/x
  3. Step 3: Cross multiply
    494,425.12x = 741,044.40 × 227,819.68
  4. Step 4: Simplify right side
    494,425.12x = 168,824,498,073.79
  5. Step 5: Solve for x
    x = 168,824,498,073.79/494,425.12
  6. Step 6: Final answer
    x = 341,456.15

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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.