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Finding the Fourth Proportional to 472,115.70, 708,382.77 and 247,422.66

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Solution

The fourth proportional to 472,115.70, 708,382.77 and 247,422.66 is: 371,243.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,115.70 : 708,382.77 = 247,422.66 : x
  2. Step 2: Convert to fraction form
    472,115.70/708,382.77 = 247,422.66/x
  3. Step 3: Cross multiply
    472,115.70x = 708,382.77 × 247,422.66
  4. Step 4: Simplify right side
    472,115.70x = 175,269,949,251.57
  5. Step 5: Solve for x
    x = 175,269,949,251.57/472,115.70
  6. Step 6: Final answer
    x = 371,243.64

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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.