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Finding the Fourth Proportional to 262,952.80, 394,429.20 and 115,496.80

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Solution

The fourth proportional to 262,952.80, 394,429.20 and 115,496.80 is: 173,245.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,952.80 : 394,429.20 = 115,496.80 : x
  2. Step 2: Convert to fraction form
    262,952.80/394,429.20 = 115,496.80/x
  3. Step 3: Cross multiply
    262,952.80x = 394,429.20 × 115,496.80
  4. Step 4: Simplify right side
    262,952.80x = 45,555,310,426.56
  5. Step 5: Solve for x
    x = 45,555,310,426.56/262,952.80
  6. Step 6: Final answer
    x = 173,245.20

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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.