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Finding the Fourth Proportional to 407,195.39, 561,997.10 and 225,965.54

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Solution

The fourth proportional to 407,195.39, 561,997.10 and 225,965.54 is: 311,869.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,195.39 : 561,997.10 = 225,965.54 : x
  2. Step 2: Convert to fraction form
    407,195.39/561,997.10 = 225,965.54/x
  3. Step 3: Cross multiply
    407,195.39x = 561,997.10 × 225,965.54
  4. Step 4: Simplify right side
    407,195.39x = 126,991,978,455.10
  5. Step 5: Solve for x
    x = 126,991,978,455.10/407,195.39
  6. Step 6: Final answer
    x = 311,869.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.