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Finding the Fourth Proportional to 412,456.60, 617,886.85 and 231,993.79

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Solution

The fourth proportional to 412,456.60, 617,886.85 and 231,993.79 is: 347,541.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,456.60 : 617,886.85 = 231,993.79 : x
  2. Step 2: Convert to fraction form
    412,456.60/617,886.85 = 231,993.79/x
  3. Step 3: Cross multiply
    412,456.60x = 617,886.85 × 231,993.79
  4. Step 4: Simplify right side
    412,456.60x = 143,345,912,122.66
  5. Step 5: Solve for x
    x = 143,345,912,122.66/412,456.60
  6. Step 6: Final answer
    x = 347,541.81

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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.