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Finding the Fourth Proportional to 337,194.87, 465,323.49 and 184,229.78

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Solution

The fourth proportional to 337,194.87, 465,323.49 and 184,229.78 is: 254,234.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,194.87 : 465,323.49 = 184,229.78 : x
  2. Step 2: Convert to fraction form
    337,194.87/465,323.49 = 184,229.78/x
  3. Step 3: Cross multiply
    337,194.87x = 465,323.49 × 184,229.78
  4. Step 4: Simplify right side
    337,194.87x = 85,726,441,864.91
  5. Step 5: Solve for x
    x = 85,726,441,864.91/337,194.87
  6. Step 6: Final answer
    x = 254,234.12

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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.