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Finding the Fourth Proportional to 465,850.92, 642,876.42 and 264,657.96

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Solution

The fourth proportional to 465,850.92, 642,876.42 and 264,657.96 is: 365,229.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,850.92 : 642,876.42 = 264,657.96 : x
  2. Step 2: Convert to fraction form
    465,850.92/642,876.42 = 264,657.96/x
  3. Step 3: Cross multiply
    465,850.92x = 642,876.42 × 264,657.96
  4. Step 4: Simplify right side
    465,850.92x = 170,142,361,849.30
  5. Step 5: Solve for x
    x = 170,142,361,849.30/465,850.92
  6. Step 6: Final answer
    x = 365,229.21

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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.