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Finding the Fourth Proportional to 414,505.27, 571,976.42 and 233,213.19

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Solution

The fourth proportional to 414,505.27, 571,976.42 and 233,213.19 is: 321,811.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,505.27 : 571,976.42 = 233,213.19 : x
  2. Step 2: Convert to fraction form
    414,505.27/571,976.42 = 233,213.19/x
  3. Step 3: Cross multiply
    414,505.27x = 571,976.42 × 233,213.19
  4. Step 4: Simplify right side
    414,505.27x = 133,392,445,512.98
  5. Step 5: Solve for x
    x = 133,392,445,512.98/414,505.27
  6. Step 6: Final answer
    x = 321,811.22

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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.