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Finding the Fourth Proportional to 414,490.65, 571,956.33 and 233,198.69

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Solution

The fourth proportional to 414,490.65, 571,956.33 and 233,198.69 is: 321,791.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,490.65 : 571,956.33 = 233,198.69 : x
  2. Step 2: Convert to fraction form
    414,490.65/571,956.33 = 233,198.69/x
  3. Step 3: Cross multiply
    414,490.65x = 571,956.33 × 233,198.69
  4. Step 4: Simplify right side
    414,490.65x = 133,379,464,033.43
  5. Step 5: Solve for x
    x = 133,379,464,033.43/414,490.65
  6. Step 6: Final answer
    x = 321,791.25

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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.