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Finding the Fourth Proportional to 376,116.75, 519,050.23 and 206,350.88

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Solution

The fourth proportional to 376,116.75, 519,050.23 and 206,350.88 is: 284,769.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,116.75 : 519,050.23 = 206,350.88 : x
  2. Step 2: Convert to fraction form
    376,116.75/519,050.23 = 206,350.88/x
  3. Step 3: Cross multiply
    376,116.75x = 519,050.23 × 206,350.88
  4. Step 4: Simplify right side
    376,116.75x = 107,106,468,613.57
  5. Step 5: Solve for x
    x = 107,106,468,613.57/376,116.75
  6. Step 6: Final answer
    x = 284,769.21

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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.