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Finding the Fourth Proportional to 267,233.92, 367,943.52 and 226,864

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Solution

The fourth proportional to 267,233.92, 367,943.52 and 226,864 is: 312,359.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,233.92 : 367,943.52 = 226,864 : x
  2. Step 2: Convert to fraction form
    267,233.92/367,943.52 = 226,864/x
  3. Step 3: Cross multiply
    267,233.92x = 367,943.52 × 226,864
  4. Step 4: Simplify right side
    267,233.92x = 83,473,138,721.28
  5. Step 5: Solve for x
    x = 83,473,138,721.28/267,233.92
  6. Step 6: Final answer
    x = 312,359.82

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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.