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Finding the Fourth Proportional to 417,691.17, 576,398.40 and 226,700.46

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Solution

The fourth proportional to 417,691.17, 576,398.40 and 226,700.46 is: 312,838.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,691.17 : 576,398.40 = 226,700.46 : x
  2. Step 2: Convert to fraction form
    417,691.17/576,398.40 = 226,700.46/x
  3. Step 3: Cross multiply
    417,691.17x = 576,398.40 × 226,700.46
  4. Step 4: Simplify right side
    417,691.17x = 130,669,781,573.14
  5. Step 5: Solve for x
    x = 130,669,781,573.14/417,691.17
  6. Step 6: Final answer
    x = 312,838.27

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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.