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Finding the Fourth Proportional to 281,171.84, 422,769.36 and 259,253.36

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Solution

The fourth proportional to 281,171.84, 422,769.36 and 259,253.36 is: 389,812.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,171.84 : 422,769.36 = 259,253.36 : x
  2. Step 2: Convert to fraction form
    281,171.84/422,769.36 = 259,253.36/x
  3. Step 3: Cross multiply
    281,171.84x = 422,769.36 × 259,253.36
  4. Step 4: Simplify right side
    281,171.84x = 109,604,377,085.05
  5. Step 5: Solve for x
    x = 109,604,377,085.05/281,171.84
  6. Step 6: Final answer
    x = 389,812.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.