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Finding the Fourth Proportional to 472,097.89, 708,356.14 and 247,404.90

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Solution

The fourth proportional to 472,097.89, 708,356.14 and 247,404.90 is: 371,217.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,097.89 : 708,356.14 = 247,404.90 : x
  2. Step 2: Convert to fraction form
    472,097.89/708,356.14 = 247,404.90/x
  3. Step 3: Cross multiply
    472,097.89x = 708,356.14 × 247,404.90
  4. Step 4: Simplify right side
    472,097.89x = 175,250,779,362.57
  5. Step 5: Solve for x
    x = 175,250,779,362.57/472,097.89
  6. Step 6: Final answer
    x = 371,217.04

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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.