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Finding the Fourth Proportional to 465,809.72, 642,737.32 and 261,832.34

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Solution

The fourth proportional to 465,809.72, 642,737.32 and 261,832.34 is: 361,283.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,809.72 : 642,737.32 = 261,832.34 : x
  2. Step 2: Convert to fraction form
    465,809.72/642,737.32 = 261,832.34/x
  3. Step 3: Cross multiply
    465,809.72x = 642,737.32 × 261,832.34
  4. Step 4: Simplify right side
    465,809.72x = 168,289,416,500.93
  5. Step 5: Solve for x
    x = 168,289,416,500.93/465,809.72
  6. Step 6: Final answer
    x = 361,283.61

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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.