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Finding the Fourth Proportional to 417,518.38, 576,175.40 and 226,531.77

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Solution

The fourth proportional to 417,518.38, 576,175.40 and 226,531.77 is: 312,613.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,518.38 : 576,175.40 = 226,531.77 : x
  2. Step 2: Convert to fraction form
    417,518.38/576,175.40 = 226,531.77/x
  3. Step 3: Cross multiply
    417,518.38x = 576,175.40 × 226,531.77
  4. Step 4: Simplify right side
    417,518.38x = 130,522,033,192.46
  5. Step 5: Solve for x
    x = 130,522,033,192.46/417,518.38
  6. Step 6: Final answer
    x = 312,613.86

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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.