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Finding the Fourth Proportional to 412,832.50, 569,708.67 and 240,717.25

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Solution

The fourth proportional to 412,832.50, 569,708.67 and 240,717.25 is: 332,189.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,832.50 : 569,708.67 = 240,717.25 : x
  2. Step 2: Convert to fraction form
    412,832.50/569,708.67 = 240,717.25/x
  3. Step 3: Cross multiply
    412,832.50x = 569,708.67 × 240,717.25
  4. Step 4: Simplify right side
    412,832.50x = 137,138,705,958.38
  5. Step 5: Solve for x
    x = 137,138,705,958.38/412,832.50
  6. Step 6: Final answer
    x = 332,189.71

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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.