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Finding the Fourth Proportional to 399,612.38, 599,714.42 and 189,250.92

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Solution

The fourth proportional to 399,612.38, 599,714.42 and 189,250.92 is: 284,016.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,612.38 : 599,714.42 = 189,250.92 : x
  2. Step 2: Convert to fraction form
    399,612.38/599,714.42 = 189,250.92/x
  3. Step 3: Cross multiply
    399,612.38x = 599,714.42 × 189,250.92
  4. Step 4: Simplify right side
    399,612.38x = 113,496,504,776.01
  5. Step 5: Solve for x
    x = 113,496,504,776.01/399,612.38
  6. Step 6: Final answer
    x = 284,016.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.