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Finding the Fourth Proportional to 407,189.09, 561,924.34 and 225,912.92

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Solution

The fourth proportional to 407,189.09, 561,924.34 and 225,912.92 is: 311,761.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,189.09 : 561,924.34 = 225,912.92 : x
  2. Step 2: Convert to fraction form
    407,189.09/561,924.34 = 225,912.92/x
  3. Step 3: Cross multiply
    407,189.09x = 561,924.34 × 225,912.92
  4. Step 4: Simplify right side
    407,189.09x = 126,945,965,094.07
  5. Step 5: Solve for x
    x = 126,945,965,094.07/407,189.09
  6. Step 6: Final answer
    x = 311,761.70

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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.