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Finding the Fourth Proportional to 414,424.79, 571,939.40 and 233,125.91

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Solution

The fourth proportional to 414,424.79, 571,939.40 and 233,125.91 is: 321,732.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,424.79 : 571,939.40 = 233,125.91 : x
  2. Step 2: Convert to fraction form
    414,424.79/571,939.40 = 233,125.91/x
  3. Step 3: Cross multiply
    414,424.79x = 571,939.40 × 233,125.91
  4. Step 4: Simplify right side
    414,424.79x = 133,333,890,812.97
  5. Step 5: Solve for x
    x = 133,333,890,812.97/414,424.79
  6. Step 6: Final answer
    x = 321,732.42

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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.