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Finding the Fourth Proportional to 378,198.87, 521,907.39 and 206,118.24

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Solution

The fourth proportional to 378,198.87, 521,907.39 and 206,118.24 is: 284,439.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,198.87 : 521,907.39 = 206,118.24 : x
  2. Step 2: Convert to fraction form
    378,198.87/521,907.39 = 206,118.24/x
  3. Step 3: Cross multiply
    378,198.87x = 521,907.39 × 206,118.24
  4. Step 4: Simplify right side
    378,198.87x = 107,574,632,669.79
  5. Step 5: Solve for x
    x = 107,574,632,669.79/378,198.87
  6. Step 6: Final answer
    x = 284,439.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.