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Finding the Fourth Proportional to 263,234.74, 394,855.17 and 73,683.85

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Solution

The fourth proportional to 263,234.74, 394,855.17 and 73,683.85 is: 110,526.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,234.74 : 394,855.17 = 73,683.85 : x
  2. Step 2: Convert to fraction form
    263,234.74/394,855.17 = 73,683.85/x
  3. Step 3: Cross multiply
    263,234.74x = 394,855.17 × 73,683.85
  4. Step 4: Simplify right side
    263,234.74x = 29,094,449,118.00
  5. Step 5: Solve for x
    x = 29,094,449,118.00/263,234.74
  6. Step 6: Final answer
    x = 110,526.63

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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.