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Finding the Fourth Proportional to 271,769.40, 408,042.90 and 193,231.80

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Solution

The fourth proportional to 271,769.40, 408,042.90 and 193,231.80 is: 290,124.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,769.40 : 408,042.90 = 193,231.80 : x
  2. Step 2: Convert to fraction form
    271,769.40/408,042.90 = 193,231.80/x
  3. Step 3: Cross multiply
    271,769.40x = 408,042.90 × 193,231.80
  4. Step 4: Simplify right side
    271,769.40x = 78,846,864,044.22
  5. Step 5: Solve for x
    x = 78,846,864,044.22/271,769.40
  6. Step 6: Final answer
    x = 290,124.14

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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.