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Finding the Fourth Proportional to 417,684.39, 576,404.97 and 226,697.83

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Solution

The fourth proportional to 417,684.39, 576,404.97 and 226,697.83 is: 312,843.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,684.39 : 576,404.97 = 226,697.83 : x
  2. Step 2: Convert to fraction form
    417,684.39/576,404.97 = 226,697.83/x
  3. Step 3: Cross multiply
    417,684.39x = 576,404.97 × 226,697.83
  4. Step 4: Simplify right side
    417,684.39x = 130,669,755,900.22
  5. Step 5: Solve for x
    x = 130,669,755,900.22/417,684.39
  6. Step 6: Final answer
    x = 312,843.28

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