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Finding the Fourth Proportional to 414,244.38, 571,651.81 and 232,956.25

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Solution

The fourth proportional to 414,244.38, 571,651.81 and 232,956.25 is: 321,476.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,244.38 : 571,651.81 = 232,956.25 : x
  2. Step 2: Convert to fraction form
    414,244.38/571,651.81 = 232,956.25/x
  3. Step 3: Cross multiply
    414,244.38x = 571,651.81 × 232,956.25
  4. Step 4: Simplify right side
    414,244.38x = 133,169,861,963.31
  5. Step 5: Solve for x
    x = 133,169,861,963.31/414,244.38
  6. Step 6: Final answer
    x = 321,476.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.