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Finding the Fourth Proportional to 331,309.67, 495,982.76 and 204,542.33

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Solution

The fourth proportional to 331,309.67, 495,982.76 and 204,542.33 is: 306,207.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,309.67 : 495,982.76 = 204,542.33 : x
  2. Step 2: Convert to fraction form
    331,309.67/495,982.76 = 204,542.33/x
  3. Step 3: Cross multiply
    331,309.67x = 495,982.76 × 204,542.33
  4. Step 4: Simplify right side
    331,309.67x = 101,449,465,867.61
  5. Step 5: Solve for x
    x = 101,449,465,867.61/331,309.67
  6. Step 6: Final answer
    x = 306,207.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.