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Finding the Fourth Proportional to 407,175.41, 561,902.72 and 225,887.33

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Solution

The fourth proportional to 407,175.41, 561,902.72 and 225,887.33 is: 311,724.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,175.41 : 561,902.72 = 225,887.33 : x
  2. Step 2: Convert to fraction form
    407,175.41/561,902.72 = 225,887.33/x
  3. Step 3: Cross multiply
    407,175.41x = 561,902.72 × 225,887.33
  4. Step 4: Simplify right side
    407,175.41x = 126,926,705,415.86
  5. Step 5: Solve for x
    x = 126,926,705,415.86/407,175.41
  6. Step 6: Final answer
    x = 311,724.88

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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.