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Finding the Fourth Proportional to 285,843.92, 394,436.16 and 165,024.20

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Solution

The fourth proportional to 285,843.92, 394,436.16 and 165,024.20 is: 227,716.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,843.92 : 394,436.16 = 165,024.20 : x
  2. Step 2: Convert to fraction form
    285,843.92/394,436.16 = 165,024.20/x
  3. Step 3: Cross multiply
    285,843.92x = 394,436.16 × 165,024.20
  4. Step 4: Simplify right side
    285,843.92x = 65,091,511,755.07
  5. Step 5: Solve for x
    x = 65,091,511,755.07/285,843.92
  6. Step 6: Final answer
    x = 227,716.97

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1.5x scale

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.