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Finding the Fourth Proportional to 296,081.44, 408,631.92 and 167,046.40

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Solution

The fourth proportional to 296,081.44, 408,631.92 and 167,046.40 is: 230,546.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,081.44 : 408,631.92 = 167,046.40 : x
  2. Step 2: Convert to fraction form
    296,081.44/408,631.92 = 167,046.40/x
  3. Step 3: Cross multiply
    296,081.44x = 408,631.92 × 167,046.40
  4. Step 4: Simplify right side
    296,081.44x = 68,260,491,161.09
  5. Step 5: Solve for x
    x = 68,260,491,161.09/296,081.44
  6. Step 6: Final answer
    x = 230,546.34

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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.