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Finding the Fourth Proportional to 625,232.16, 862,819.20 and 338,760

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Solution

The fourth proportional to 625,232.16, 862,819.20 and 338,760 is: 467,488.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,232.16 : 862,819.20 = 338,760 : x
  2. Step 2: Convert to fraction form
    625,232.16/862,819.20 = 338,760/x
  3. Step 3: Cross multiply
    625,232.16x = 862,819.20 × 338,760
  4. Step 4: Simplify right side
    625,232.16x = 292,288,632,192
  5. Step 5: Solve for x
    x = 292,288,632,192/625,232.16
  6. Step 6: Final answer
    x = 467,488.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.