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Finding the Fourth Proportional to 352,561.38, 486,542.90 and 209,321.78

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Solution

The fourth proportional to 352,561.38, 486,542.90 and 209,321.78 is: 288,868.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,561.38 : 486,542.90 = 209,321.78 : x
  2. Step 2: Convert to fraction form
    352,561.38/486,542.90 = 209,321.78/x
  3. Step 3: Cross multiply
    352,561.38x = 486,542.90 × 209,321.78
  4. Step 4: Simplify right side
    352,561.38x = 101,844,025,874.36
  5. Step 5: Solve for x
    x = 101,844,025,874.36/352,561.38
  6. Step 6: Final answer
    x = 288,868.92

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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.