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Finding the Fourth Proportional to 359,151.70, 495,629.19 and 206,199.76

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Solution

The fourth proportional to 359,151.70, 495,629.19 and 206,199.76 is: 284,555.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,151.70 : 495,629.19 = 206,199.76 : x
  2. Step 2: Convert to fraction form
    359,151.70/495,629.19 = 206,199.76/x
  3. Step 3: Cross multiply
    359,151.70x = 495,629.19 × 206,199.76
  4. Step 4: Simplify right side
    359,151.70x = 102,198,620,026.99
  5. Step 5: Solve for x
    x = 102,198,620,026.99/359,151.70
  6. Step 6: Final answer
    x = 284,555.58

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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.