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Finding the Fourth Proportional to 424,186.92, 585,379.50 and 233,212.44

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Solution

The fourth proportional to 424,186.92, 585,379.50 and 233,212.44 is: 321,834.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,186.92 : 585,379.50 = 233,212.44 : x
  2. Step 2: Convert to fraction form
    424,186.92/585,379.50 = 233,212.44/x
  3. Step 3: Cross multiply
    424,186.92x = 585,379.50 × 233,212.44
  4. Step 4: Simplify right side
    424,186.92x = 136,517,781,520.98
  5. Step 5: Solve for x
    x = 136,517,781,520.98/424,186.92
  6. Step 6: Final answer
    x = 321,834.02

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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.