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Finding the Fourth Proportional to 267,243.92, 367,957.32 and 226,874

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Solution

The fourth proportional to 267,243.92, 367,957.32 and 226,874 is: 312,373.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,243.92 : 367,957.32 = 226,874 : x
  2. Step 2: Convert to fraction form
    267,243.92/367,957.32 = 226,874/x
  3. Step 3: Cross multiply
    267,243.92x = 367,957.32 × 226,874
  4. Step 4: Simplify right side
    267,243.92x = 83,479,949,017.68
  5. Step 5: Solve for x
    x = 83,479,949,017.68/267,243.92
  6. Step 6: Final answer
    x = 312,373.61

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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.