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Finding the Fourth Proportional to 417,691.74, 576,415.17 and 226,705.16

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Solution

The fourth proportional to 417,691.74, 576,415.17 and 226,705.16 is: 312,853.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,691.74 : 576,415.17 = 226,705.16 : x
  2. Step 2: Convert to fraction form
    417,691.74/576,415.17 = 226,705.16/x
  3. Step 3: Cross multiply
    417,691.74x = 576,415.17 × 226,705.16
  4. Step 4: Simplify right side
    417,691.74x = 130,676,290,459.20
  5. Step 5: Solve for x
    x = 130,676,290,459.20/417,691.74
  6. Step 6: Final answer
    x = 312,853.42

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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.