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Finding the Fourth Proportional to 465,757.62, 642,813.57 and 261,825.33

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Solution

The fourth proportional to 465,757.62, 642,813.57 and 261,825.33 is: 361,357.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,757.62 : 642,813.57 = 261,825.33 : x
  2. Step 2: Convert to fraction form
    465,757.62/642,813.57 = 261,825.33/x
  3. Step 3: Cross multiply
    465,757.62x = 642,813.57 × 261,825.33
  4. Step 4: Simplify right side
    465,757.62x = 168,304,875,093.73
  5. Step 5: Solve for x
    x = 168,304,875,093.73/465,757.62
  6. Step 6: Final answer
    x = 361,357.21

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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.