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Finding the Fourth Proportional to 417,791.76, 576,537.12 and 226,800.96

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Solution

The fourth proportional to 417,791.76, 576,537.12 and 226,800.96 is: 312,976.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,791.76 : 576,537.12 = 226,800.96 : x
  2. Step 2: Convert to fraction form
    417,791.76/576,537.12 = 226,800.96/x
  3. Step 3: Cross multiply
    417,791.76x = 576,537.12 × 226,800.96
  4. Step 4: Simplify right side
    417,791.76x = 130,759,172,291.64
  5. Step 5: Solve for x
    x = 130,759,172,291.64/417,791.76
  6. Step 6: Final answer
    x = 312,976.91

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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.