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Finding the Fourth Proportional to 232,370.70, 347,778.45 and 204,377.10

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Solution

The fourth proportional to 232,370.70, 347,778.45 and 204,377.10 is: 305,881.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,370.70 : 347,778.45 = 204,377.10 : x
  2. Step 2: Convert to fraction form
    232,370.70/347,778.45 = 204,377.10/x
  3. Step 3: Cross multiply
    232,370.70x = 347,778.45 × 204,377.10
  4. Step 4: Simplify right side
    232,370.70x = 71,077,951,053.50
  5. Step 5: Solve for x
    x = 71,077,951,053.50/232,370.70
  6. Step 6: Final answer
    x = 305,881.73

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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.