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Finding the Fourth Proportional to 298,910.25, 412,481.24 and 169,831.68

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Solution

The fourth proportional to 298,910.25, 412,481.24 and 169,831.68 is: 234,359.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,910.25 : 412,481.24 = 169,831.68 : x
  2. Step 2: Convert to fraction form
    298,910.25/412,481.24 = 169,831.68/x
  3. Step 3: Cross multiply
    298,910.25x = 412,481.24 × 169,831.68
  4. Step 4: Simplify right side
    298,910.25x = 70,052,379,470.70
  5. Step 5: Solve for x
    x = 70,052,379,470.70/298,910.25
  6. Step 6: Final answer
    x = 234,359.24

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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.