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Finding the Fourth Proportional to 367,283.27, 506,850.92 and 206,138.32

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Solution

The fourth proportional to 367,283.27, 506,850.92 and 206,138.32 is: 284,470.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,283.27 : 506,850.92 = 206,138.32 : x
  2. Step 2: Convert to fraction form
    367,283.27/506,850.92 = 206,138.32/x
  3. Step 3: Cross multiply
    367,283.27x = 506,850.92 × 206,138.32
  4. Step 4: Simplify right side
    367,283.27x = 104,481,396,108.56
  5. Step 5: Solve for x
    x = 104,481,396,108.56/367,283.27
  6. Step 6: Final answer
    x = 284,470.88

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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.