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Finding the Fourth Proportional to 262,912.80, 394,369.20 and 199,927.20

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Solution

The fourth proportional to 262,912.80, 394,369.20 and 199,927.20 is: 299,890.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,912.80 : 394,369.20 = 199,927.20 : x
  2. Step 2: Convert to fraction form
    262,912.80/394,369.20 = 199,927.20/x
  3. Step 3: Cross multiply
    262,912.80x = 394,369.20 × 199,927.20
  4. Step 4: Simplify right side
    262,912.80x = 78,845,129,922.24
  5. Step 5: Solve for x
    x = 78,845,129,922.24/262,912.80
  6. Step 6: Final answer
    x = 299,890.80

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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.