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Finding the Fourth Proportional to 267,723.38, 369,602.17 and 206,785.26

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Solution

The fourth proportional to 267,723.38, 369,602.17 and 206,785.26 is: 285,474.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,723.38 : 369,602.17 = 206,785.26 : x
  2. Step 2: Convert to fraction form
    267,723.38/369,602.17 = 206,785.26/x
  3. Step 3: Cross multiply
    267,723.38x = 369,602.17 × 206,785.26
  4. Step 4: Simplify right side
    267,723.38x = 76,428,280,303.05
  5. Step 5: Solve for x
    x = 76,428,280,303.05/267,723.38
  6. Step 6: Final answer
    x = 285,474.80

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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.