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Finding the Fourth Proportional to 472,105.43, 708,453.39 and 191,622.68

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Solution

The fourth proportional to 472,105.43, 708,453.39 and 191,622.68 is: 287,553.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,105.43 : 708,453.39 = 191,622.68 : x
  2. Step 2: Convert to fraction form
    472,105.43/708,453.39 = 191,622.68/x
  3. Step 3: Cross multiply
    472,105.43x = 708,453.39 × 191,622.68
  4. Step 4: Simplify right side
    472,105.43x = 135,755,733,704.62
  5. Step 5: Solve for x
    x = 135,755,733,704.62/472,105.43
  6. Step 6: Final answer
    x = 287,553.85

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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.