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Finding the Fourth Proportional to 472,097.85, 708,356.13 and 247,404.88

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Solution

The fourth proportional to 472,097.85, 708,356.13 and 247,404.88 is: 371,217.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,097.85 : 708,356.13 = 247,404.88 : x
  2. Step 2: Convert to fraction form
    472,097.85/708,356.13 = 247,404.88/x
  3. Step 3: Cross multiply
    472,097.85x = 708,356.13 × 247,404.88
  4. Step 4: Simplify right side
    472,097.85x = 175,250,763,339.91
  5. Step 5: Solve for x
    x = 175,250,763,339.91/472,097.85
  6. Step 6: Final answer
    x = 371,217.03

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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.