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Finding the Fourth Proportional to 472,107.62, 708,370.78 and 247,414.70

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Solution

The fourth proportional to 472,107.62, 708,370.78 and 247,414.70 is: 371,231.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,107.62 : 708,370.78 = 247,414.70 : x
  2. Step 2: Convert to fraction form
    472,107.62/708,370.78 = 247,414.70/x
  3. Step 3: Cross multiply
    472,107.62x = 708,370.78 × 247,414.70
  4. Step 4: Simplify right side
    472,107.62x = 175,261,344,022.47
  5. Step 5: Solve for x
    x = 175,261,344,022.47/472,107.62
  6. Step 6: Final answer
    x = 371,231.76

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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.