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Finding the Fourth Proportional to 417,708.48, 576,438.28 and 226,721.90

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Solution

The fourth proportional to 417,708.48, 576,438.28 and 226,721.90 is: 312,876.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,708.48 : 576,438.28 = 226,721.90 : x
  2. Step 2: Convert to fraction form
    417,708.48/576,438.28 = 226,721.90/x
  3. Step 3: Cross multiply
    417,708.48x = 576,438.28 × 226,721.90
  4. Step 4: Simplify right side
    417,708.48x = 130,691,182,074.33
  5. Step 5: Solve for x
    x = 130,691,182,074.33/417,708.48
  6. Step 6: Final answer
    x = 312,876.54

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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.