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Finding the Fourth Proportional to 359,150.14, 495,627.03 and 206,198.20

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Solution

The fourth proportional to 359,150.14, 495,627.03 and 206,198.20 is: 284,553.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,150.14 : 495,627.03 = 206,198.20 : x
  2. Step 2: Convert to fraction form
    359,150.14/495,627.03 = 206,198.20/x
  3. Step 3: Cross multiply
    359,150.14x = 495,627.03 × 206,198.20
  4. Step 4: Simplify right side
    359,150.14x = 102,197,400,991.52
  5. Step 5: Solve for x
    x = 102,197,400,991.52/359,150.14
  6. Step 6: Final answer
    x = 284,553.42

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1.5x scale

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.