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Finding the Fourth Proportional to 407,086.38, 561,846.42 and 225,856.65

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Solution

The fourth proportional to 407,086.38, 561,846.42 and 225,856.65 is: 311,719.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,086.38 : 561,846.42 = 225,856.65 : x
  2. Step 2: Convert to fraction form
    407,086.38/561,846.42 = 225,856.65/x
  3. Step 3: Cross multiply
    407,086.38x = 561,846.42 × 225,856.65
  4. Step 4: Simplify right side
    407,086.38x = 126,896,750,235.69
  5. Step 5: Solve for x
    x = 126,896,750,235.69/407,086.38
  6. Step 6: Final answer
    x = 311,719.47

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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.