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Finding the Fourth Proportional to 465,757.37, 642,813.23 and 261,825.08

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Solution

The fourth proportional to 465,757.37, 642,813.23 and 261,825.08 is: 361,356.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,757.37 : 642,813.23 = 261,825.08 : x
  2. Step 2: Convert to fraction form
    465,757.37/642,813.23 = 261,825.08/x
  3. Step 3: Cross multiply
    465,757.37x = 642,813.23 × 261,825.08
  4. Step 4: Simplify right side
    465,757.37x = 168,304,625,369.81
  5. Step 5: Solve for x
    x = 168,304,625,369.81/465,757.37
  6. Step 6: Final answer
    x = 361,356.87

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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.