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Finding the Fourth Proportional to 359,150.70, 495,627.81 and 206,198.76

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Solution

The fourth proportional to 359,150.70, 495,627.81 and 206,198.76 is: 284,554.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,150.70 : 495,627.81 = 206,198.76 : x
  2. Step 2: Convert to fraction form
    359,150.70/495,627.81 = 206,198.76/x
  3. Step 3: Cross multiply
    359,150.70x = 495,627.81 × 206,198.76
  4. Step 4: Simplify right side
    359,150.70x = 102,197,839,843.52
  5. Step 5: Solve for x
    x = 102,197,839,843.52/359,150.70
  6. Step 6: Final answer
    x = 284,554.20

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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.