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Finding the Fourth Proportional to 263,935.20, 395,211.60 and 193,432.80

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Solution

The fourth proportional to 263,935.20, 395,211.60 and 193,432.80 is: 289,642.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,935.20 : 395,211.60 = 193,432.80 : x
  2. Step 2: Convert to fraction form
    263,935.20/395,211.60 = 193,432.80/x
  3. Step 3: Cross multiply
    263,935.20x = 395,211.60 × 193,432.80
  4. Step 4: Simplify right side
    263,935.20x = 76,446,886,380.48
  5. Step 5: Solve for x
    x = 76,446,886,380.48/263,935.20
  6. Step 6: Final answer
    x = 289,642.63

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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.