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Finding the Fourth Proportional to 462,859.92, 691,213.89 and 457,849.68

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Solution

The fourth proportional to 462,859.92, 691,213.89 and 457,849.68 is: 683,731.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,859.92 : 691,213.89 = 457,849.68 : x
  2. Step 2: Convert to fraction form
    462,859.92/691,213.89 = 457,849.68/x
  3. Step 3: Cross multiply
    462,859.92x = 691,213.89 × 457,849.68
  4. Step 4: Simplify right side
    462,859.92x = 316,472,058,348.06
  5. Step 5: Solve for x
    x = 316,472,058,348.06/462,859.92
  6. Step 6: Final answer
    x = 683,731.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.