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Finding the Fourth Proportional to 410,717.25, 566,789.81 and 231,869.25

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Solution

The fourth proportional to 410,717.25, 566,789.81 and 231,869.25 is: 319,979.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,717.25 : 566,789.81 = 231,869.25 : x
  2. Step 2: Convert to fraction form
    410,717.25/566,789.81 = 231,869.25/x
  3. Step 3: Cross multiply
    410,717.25x = 566,789.81 × 231,869.25
  4. Step 4: Simplify right side
    410,717.25x = 131,421,126,993.00
  5. Step 5: Solve for x
    x = 131,421,126,993.00/410,717.25
  6. Step 6: Final answer
    x = 319,979.57

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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.