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Finding the Fourth Proportional to 374,229.44, 516,436.62 and 204,464.78

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Solution

The fourth proportional to 374,229.44, 516,436.62 and 204,464.78 is: 282,161.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,229.44 : 516,436.62 = 204,464.78 : x
  2. Step 2: Convert to fraction form
    374,229.44/516,436.62 = 204,464.78/x
  3. Step 3: Cross multiply
    374,229.44x = 516,436.62 × 204,464.78
  4. Step 4: Simplify right side
    374,229.44x = 105,593,099,892.24
  5. Step 5: Solve for x
    x = 105,593,099,892.24/374,229.44
  6. Step 6: Final answer
    x = 282,161.39

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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.