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Finding the Fourth Proportional to 407,195.60, 561,933.32 and 225,919.42

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Solution

The fourth proportional to 407,195.60, 561,933.32 and 225,919.42 is: 311,770.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,195.60 : 561,933.32 = 225,919.42 : x
  2. Step 2: Convert to fraction form
    407,195.60/561,933.32 = 225,919.42/x
  3. Step 3: Cross multiply
    407,195.60x = 561,933.32 × 225,919.42
  4. Step 4: Simplify right side
    407,195.60x = 126,951,649,733.07
  5. Step 5: Solve for x
    x = 126,951,649,733.07/407,195.60
  6. Step 6: Final answer
    x = 311,770.68

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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.