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Finding the Fourth Proportional to 417,712.47, 576,443.79 and 226,725.90

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Solution

The fourth proportional to 417,712.47, 576,443.79 and 226,725.90 is: 312,882.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,712.47 : 576,443.79 = 226,725.90 : x
  2. Step 2: Convert to fraction form
    417,712.47/576,443.79 = 226,725.90/x
  3. Step 3: Cross multiply
    417,712.47x = 576,443.79 × 226,725.90
  4. Step 4: Simplify right side
    417,712.47x = 130,694,737,087.16
  5. Step 5: Solve for x
    x = 130,694,737,087.16/417,712.47
  6. Step 6: Final answer
    x = 312,882.06

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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.