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Finding the Fourth Proportional to 414,253.40, 571,664.24 and 232,965.24

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Solution

The fourth proportional to 414,253.40, 571,664.24 and 232,965.24 is: 321,488.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,253.40 : 571,664.24 = 232,965.24 : x
  2. Step 2: Convert to fraction form
    414,253.40/571,664.24 = 232,965.24/x
  3. Step 3: Cross multiply
    414,253.40x = 571,664.24 × 232,965.24
  4. Step 4: Simplify right side
    414,253.40x = 133,177,896,871.02
  5. Step 5: Solve for x
    x = 133,177,896,871.02/414,253.40
  6. Step 6: Final answer
    x = 321,488.97

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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.