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Finding the Fourth Proportional to 417,818.97, 576,597.18 and 226,832.38

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Solution

The fourth proportional to 417,818.97, 576,597.18 and 226,832.38 is: 313,032.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,818.97 : 576,597.18 = 226,832.38 : x
  2. Step 2: Convert to fraction form
    417,818.97/576,597.18 = 226,832.38/x
  3. Step 3: Cross multiply
    417,818.97x = 576,597.18 × 226,832.38
  4. Step 4: Simplify right side
    417,818.97x = 130,790,910,049.82
  5. Step 5: Solve for x
    x = 130,790,910,049.82/417,818.97
  6. Step 6: Final answer
    x = 313,032.48

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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.