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Finding the Fourth Proportional to 407,175.29, 561,902.54 and 225,887.21

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Solution

The fourth proportional to 407,175.29, 561,902.54 and 225,887.21 is: 311,724.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,175.29 : 561,902.54 = 225,887.21 : x
  2. Step 2: Convert to fraction form
    407,175.29/561,902.54 = 225,887.21/x
  3. Step 3: Cross multiply
    407,175.29x = 561,902.54 × 225,887.21
  4. Step 4: Simplify right side
    407,175.29x = 126,926,597,052.51
  5. Step 5: Solve for x
    x = 126,926,597,052.51/407,175.29
  6. Step 6: Final answer
    x = 311,724.70

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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.