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Finding the Fourth Proportional to 414,343.89, 571,843.40 and 233,062.65

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Solution

The fourth proportional to 414,343.89, 571,843.40 and 233,062.65 is: 321,653.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,343.89 : 571,843.40 = 233,062.65 : x
  2. Step 2: Convert to fraction form
    414,343.89/571,843.40 = 233,062.65/x
  3. Step 3: Cross multiply
    414,343.89x = 571,843.40 × 233,062.65
  4. Step 4: Simplify right side
    414,343.89x = 133,275,337,023.70
  5. Step 5: Solve for x
    x = 133,275,337,023.70/414,343.89
  6. Step 6: Final answer
    x = 321,653.92

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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.