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Finding the Fourth Proportional to 263,178.56, 394,764.15 and 63,497.24

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Solution

The fourth proportional to 263,178.56, 394,764.15 and 63,497.24 is: 95,244.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,178.56 : 394,764.15 = 63,497.24 : x
  2. Step 2: Convert to fraction form
    263,178.56/394,764.15 = 63,497.24/x
  3. Step 3: Cross multiply
    263,178.56x = 394,764.15 × 63,497.24
  4. Step 4: Simplify right side
    263,178.56x = 25,066,433,975.95
  5. Step 5: Solve for x
    x = 25,066,433,975.95/263,178.56
  6. Step 6: Final answer
    x = 95,244.97

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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.