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Finding the Fourth Proportional to 264,944.60, 396,380.10 and 171,632.60

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Solution

The fourth proportional to 264,944.60, 396,380.10 and 171,632.60 is: 256,777.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,944.60 : 396,380.10 = 171,632.60 : x
  2. Step 2: Convert to fraction form
    264,944.60/396,380.10 = 171,632.60/x
  3. Step 3: Cross multiply
    264,944.60x = 396,380.10 × 171,632.60
  4. Step 4: Simplify right side
    264,944.60x = 68,031,747,151.26
  5. Step 5: Solve for x
    x = 68,031,747,151.26/264,944.60
  6. Step 6: Final answer
    x = 256,777.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.