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Finding the Fourth Proportional to 465,576.46, 642,447.62 and 261,594.96

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Solution

The fourth proportional to 465,576.46, 642,447.62 and 261,594.96 is: 360,974.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,576.46 : 642,447.62 = 261,594.96 : x
  2. Step 2: Convert to fraction form
    465,576.46/642,447.62 = 261,594.96/x
  3. Step 3: Cross multiply
    465,576.46x = 642,447.62 × 261,594.96
  4. Step 4: Simplify right side
    465,576.46x = 168,061,059,456.00
  5. Step 5: Solve for x
    x = 168,061,059,456.00/465,576.46
  6. Step 6: Final answer
    x = 360,974.13

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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.