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Finding the Fourth Proportional to 407,174.29, 561,901.16 and 225,886.21

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Solution

The fourth proportional to 407,174.29, 561,901.16 and 225,886.21 is: 311,723.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,174.29 : 561,901.16 = 225,886.21 : x
  2. Step 2: Convert to fraction form
    407,174.29/561,901.16 = 225,886.21/x
  3. Step 3: Cross multiply
    407,174.29x = 561,901.16 × 225,886.21
  4. Step 4: Simplify right side
    407,174.29x = 126,925,722,586.97
  5. Step 5: Solve for x
    x = 126,925,722,586.97/407,174.29
  6. Step 6: Final answer
    x = 311,723.32

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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.