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Finding the Fourth Proportional to 414,450.20, 571,917.89 and 233,169.77

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Solution

The fourth proportional to 414,450.20, 571,917.89 and 233,169.77 is: 321,761.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,450.20 : 571,917.89 = 233,169.77 : x
  2. Step 2: Convert to fraction form
    414,450.20/571,917.89 = 233,169.77/x
  3. Step 3: Cross multiply
    414,450.20x = 571,917.89 × 233,169.77
  4. Step 4: Simplify right side
    414,450.20x = 133,353,958,844.75
  5. Step 5: Solve for x
    x = 133,353,958,844.75/414,450.20
  6. Step 6: Final answer
    x = 321,761.12

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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.