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Finding the Fourth Proportional to 376,198.68, 519,152.04 and 206,438.88

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Solution

The fourth proportional to 376,198.68, 519,152.04 and 206,438.88 is: 284,884.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,198.68 : 519,152.04 = 206,438.88 : x
  2. Step 2: Convert to fraction form
    376,198.68/519,152.04 = 206,438.88/x
  3. Step 3: Cross multiply
    376,198.68x = 519,152.04 × 206,438.88
  4. Step 4: Simplify right side
    376,198.68x = 107,173,165,687.32
  5. Step 5: Solve for x
    x = 107,173,165,687.32/376,198.68
  6. Step 6: Final answer
    x = 284,884.48

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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.