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Finding the Fourth Proportional to 407,170.38, 561,896.55 and 225,885.90

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Solution

The fourth proportional to 407,170.38, 561,896.55 and 225,885.90 is: 311,723.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,170.38 : 561,896.55 = 225,885.90 : x
  2. Step 2: Convert to fraction form
    407,170.38/561,896.55 = 225,885.90/x
  3. Step 3: Cross multiply
    407,170.38x = 561,896.55 × 225,885.90
  4. Step 4: Simplify right side
    407,170.38x = 126,924,507,903.65
  5. Step 5: Solve for x
    x = 126,924,507,903.65/407,170.38
  6. Step 6: Final answer
    x = 311,723.33

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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.