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Finding the Fourth Proportional to 376,206.87, 519,164.06 and 206,443.83

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Solution

The fourth proportional to 376,206.87, 519,164.06 and 206,443.83 is: 284,891.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,206.87 : 519,164.06 = 206,443.83 : x
  2. Step 2: Convert to fraction form
    376,206.87/519,164.06 = 206,443.83/x
  3. Step 3: Cross multiply
    376,206.87x = 519,164.06 × 206,443.83
  4. Step 4: Simplify right side
    376,206.87x = 107,178,215,912.53
  5. Step 5: Solve for x
    x = 107,178,215,912.53/376,206.87
  6. Step 6: Final answer
    x = 284,891.70

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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.