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Finding the Fourth Proportional to 472,130.24, 708,404.56 and 247,437.20

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Solution

The fourth proportional to 472,130.24, 708,404.56 and 247,437.20 is: 371,265.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,130.24 : 708,404.56 = 247,437.20 : x
  2. Step 2: Convert to fraction form
    472,130.24/708,404.56 = 247,437.20/x
  3. Step 3: Cross multiply
    472,130.24x = 708,404.56 × 247,437.20
  4. Step 4: Simplify right side
    472,130.24x = 175,285,640,793.63
  5. Step 5: Solve for x
    x = 175,285,640,793.63/472,130.24
  6. Step 6: Final answer
    x = 371,265.44

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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.