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Finding the Fourth Proportional to 356,257.87, 491,513.90 and 203,186.05

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Solution

The fourth proportional to 356,257.87, 491,513.90 and 203,186.05 is: 280,327.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,257.87 : 491,513.90 = 203,186.05 : x
  2. Step 2: Convert to fraction form
    356,257.87/491,513.90 = 203,186.05/x
  3. Step 3: Cross multiply
    356,257.87x = 491,513.90 × 203,186.05
  4. Step 4: Simplify right side
    356,257.87x = 99,868,765,616.38
  5. Step 5: Solve for x
    x = 99,868,765,616.38/356,257.87
  6. Step 6: Final answer
    x = 280,327.19

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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.