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Finding the Fourth Proportional to 262,618.50, 394,010.64 and 199,739.82

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Solution

The fourth proportional to 262,618.50, 394,010.64 and 199,739.82 is: 299,672.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,618.50 : 394,010.64 = 199,739.82 : x
  2. Step 2: Convert to fraction form
    262,618.50/394,010.64 = 199,739.82/x
  3. Step 3: Cross multiply
    262,618.50x = 394,010.64 × 199,739.82
  4. Step 4: Simplify right side
    262,618.50x = 78,699,614,311.68
  5. Step 5: Solve for x
    x = 78,699,614,311.68/262,618.50
  6. Step 6: Final answer
    x = 299,672.77

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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.