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Finding the Fourth Proportional to 262,980.80, 394,471.20 and 182,499.20

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Solution

The fourth proportional to 262,980.80, 394,471.20 and 182,499.20 is: 273,748.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,980.80 : 394,471.20 = 182,499.20 : x
  2. Step 2: Convert to fraction form
    262,980.80/394,471.20 = 182,499.20/x
  3. Step 3: Cross multiply
    262,980.80x = 394,471.20 × 182,499.20
  4. Step 4: Simplify right side
    262,980.80x = 71,990,678,423.04
  5. Step 5: Solve for x
    x = 71,990,678,423.04/262,980.80
  6. Step 6: Final answer
    x = 273,748.80

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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.