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Finding the Fourth Proportional to 262,832.70, 394,107 and 82,884.18

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Solution

The fourth proportional to 262,832.70, 394,107 and 82,884.18 is: 124,281.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,832.70 : 394,107 = 82,884.18 : x
  2. Step 2: Convert to fraction form
    262,832.70/394,107 = 82,884.18/x
  3. Step 3: Cross multiply
    262,832.70x = 394,107 × 82,884.18
  4. Step 4: Simplify right side
    262,832.70x = 32,665,235,527.26
  5. Step 5: Solve for x
    x = 32,665,235,527.26/262,832.70
  6. Step 6: Final answer
    x = 124,281.47

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1.5x scale

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.