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Finding the Fourth Proportional to 359,139.96, 495,631.44 and 206,177.04

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Solution

The fourth proportional to 359,139.96, 495,631.44 and 206,177.04 is: 284,534.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,139.96 : 495,631.44 = 206,177.04 : x
  2. Step 2: Convert to fraction form
    359,139.96/495,631.44 = 206,177.04/x
  3. Step 3: Cross multiply
    359,139.96x = 495,631.44 × 206,177.04
  4. Step 4: Simplify right side
    359,139.96x = 102,187,823,230.14
  5. Step 5: Solve for x
    x = 102,187,823,230.14/359,139.96
  6. Step 6: Final answer
    x = 284,534.82

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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.