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Finding the Fourth Proportional to 416,882.57, 625,319.24 and 101,339.78

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Solution

The fourth proportional to 416,882.57, 625,319.24 and 101,339.78 is: 152,008.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,882.57 : 625,319.24 = 101,339.78 : x
  2. Step 2: Convert to fraction form
    416,882.57/625,319.24 = 101,339.78/x
  3. Step 3: Cross multiply
    416,882.57x = 625,319.24 × 101,339.78
  4. Step 4: Simplify right side
    416,882.57x = 63,369,710,578.07
  5. Step 5: Solve for x
    x = 63,369,710,578.07/416,882.57
  6. Step 6: Final answer
    x = 152,008.54

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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.