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Finding the Fourth Proportional to 262,842.31, 394,257.79 and 73,297.63

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Solution

The fourth proportional to 262,842.31, 394,257.79 and 73,297.63 is: 109,944.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,842.31 : 394,257.79 = 73,297.63 : x
  2. Step 2: Convert to fraction form
    262,842.31/394,257.79 = 73,297.63/x
  3. Step 3: Cross multiply
    262,842.31x = 394,257.79 × 73,297.63
  4. Step 4: Simplify right side
    262,842.31x = 28,898,160,447.15
  5. Step 5: Solve for x
    x = 28,898,160,447.15/262,842.31
  6. Step 6: Final answer
    x = 109,944.86

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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.