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Finding the Fourth Proportional to 417,708.72, 576,438.62 and 226,722.15

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Solution

The fourth proportional to 417,708.72, 576,438.62 and 226,722.15 is: 312,876.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,708.72 : 576,438.62 = 226,722.15 : x
  2. Step 2: Convert to fraction form
    417,708.72/576,438.62 = 226,722.15/x
  3. Step 3: Cross multiply
    417,708.72x = 576,438.62 × 226,722.15
  4. Step 4: Simplify right side
    417,708.72x = 130,691,402,135.82
  5. Step 5: Solve for x
    x = 130,691,402,135.82/417,708.72
  6. Step 6: Final answer
    x = 312,876.88

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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.