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Finding the Fourth Proportional to 359,150.83, 495,627.98 and 206,198.89

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Solution

The fourth proportional to 359,150.83, 495,627.98 and 206,198.89 is: 284,554.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,150.83 : 495,627.98 = 206,198.89 : x
  2. Step 2: Convert to fraction form
    359,150.83/495,627.98 = 206,198.89/x
  3. Step 3: Cross multiply
    359,150.83x = 495,627.98 × 206,198.89
  4. Step 4: Simplify right side
    359,150.83x = 102,197,936,850.80
  5. Step 5: Solve for x
    x = 102,197,936,850.80/359,150.83
  6. Step 6: Final answer
    x = 284,554.37

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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.