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Finding the Fourth Proportional to 416,886.87, 625,177.13 and 143,255.48

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Solution

The fourth proportional to 416,886.87, 625,177.13 and 143,255.48 is: 214,830.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,886.87 : 625,177.13 = 143,255.48 : x
  2. Step 2: Convert to fraction form
    416,886.87/625,177.13 = 143,255.48/x
  3. Step 3: Cross multiply
    416,886.87x = 625,177.13 × 143,255.48
  4. Step 4: Simplify right side
    416,886.87x = 89,560,049,843.17
  5. Step 5: Solve for x
    x = 89,560,049,843.17/416,886.87
  6. Step 6: Final answer
    x = 214,830.58

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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.