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Finding the Fourth Proportional to 376,581.57, 564,876.92 and 110,347.49

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Solution

The fourth proportional to 376,581.57, 564,876.92 and 110,347.49 is: 165,522.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,581.57 : 564,876.92 = 110,347.49 : x
  2. Step 2: Convert to fraction form
    376,581.57/564,876.92 = 110,347.49/x
  3. Step 3: Cross multiply
    376,581.57x = 564,876.92 × 110,347.49
  4. Step 4: Simplify right side
    376,581.57x = 62,332,747,732.41
  5. Step 5: Solve for x
    x = 62,332,747,732.41/376,581.57
  6. Step 6: Final answer
    x = 165,522.57

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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.