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Finding the Fourth Proportional to 381,469.10, 572,531.70 and 168,564.65

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Solution

The fourth proportional to 381,469.10, 572,531.70 and 168,564.65 is: 252,991.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,469.10 : 572,531.70 = 168,564.65 : x
  2. Step 2: Convert to fraction form
    381,469.10/572,531.70 = 168,564.65/x
  3. Step 3: Cross multiply
    381,469.10x = 572,531.70 × 168,564.65
  4. Step 4: Simplify right side
    381,469.10x = 96,508,605,624.41
  5. Step 5: Solve for x
    x = 96,508,605,624.41/381,469.10
  6. Step 6: Final answer
    x = 252,991.93

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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.