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Finding the Fourth Proportional to 465,193.52, 641,982.56 and 261,280.38

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Solution

The fourth proportional to 465,193.52, 641,982.56 and 261,280.38 is: 360,575.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,193.52 : 641,982.56 = 261,280.38 : x
  2. Step 2: Convert to fraction form
    465,193.52/641,982.56 = 261,280.38/x
  3. Step 3: Cross multiply
    465,193.52x = 641,982.56 × 261,280.38
  4. Step 4: Simplify right side
    465,193.52x = 167,737,447,230.17
  5. Step 5: Solve for x
    x = 167,737,447,230.17/465,193.52
  6. Step 6: Final answer
    x = 360,575.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.