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Finding the Fourth Proportional to 359,282.82, 495,793.62 and 206,213.28

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Solution

The fourth proportional to 359,282.82, 495,793.62 and 206,213.28 is: 284,564.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,282.82 : 495,793.62 = 206,213.28 : x
  2. Step 2: Convert to fraction form
    359,282.82/495,793.62 = 206,213.28/x
  3. Step 3: Cross multiply
    359,282.82x = 495,793.62 × 206,213.28
  4. Step 4: Simplify right side
    359,282.82x = 102,239,228,583.27
  5. Step 5: Solve for x
    x = 102,239,228,583.27/359,282.82
  6. Step 6: Final answer
    x = 284,564.76

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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.