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Finding the Fourth Proportional to 344,105.84, 515,874.49 and 151,843.37

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Solution

The fourth proportional to 344,105.84, 515,874.49 and 151,843.37 is: 227,639.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,105.84 : 515,874.49 = 151,843.37 : x
  2. Step 2: Convert to fraction form
    344,105.84/515,874.49 = 151,843.37/x
  3. Step 3: Cross multiply
    344,105.84x = 515,874.49 × 151,843.37
  4. Step 4: Simplify right side
    344,105.84x = 78,332,118,099.65
  5. Step 5: Solve for x
    x = 78,332,118,099.65/344,105.84
  6. Step 6: Final answer
    x = 227,639.61

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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.