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Finding the Fourth Proportional to 299,912.80, 449,869.20 and 294,728.80

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Solution

The fourth proportional to 299,912.80, 449,869.20 and 294,728.80 is: 442,093.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,912.80 : 449,869.20 = 294,728.80 : x
  2. Step 2: Convert to fraction form
    299,912.80/449,869.20 = 294,728.80/x
  3. Step 3: Cross multiply
    299,912.80x = 449,869.20 × 294,728.80
  4. Step 4: Simplify right side
    299,912.80x = 132,589,409,472.96
  5. Step 5: Solve for x
    x = 132,589,409,472.96/299,912.80
  6. Step 6: Final answer
    x = 442,093.20

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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.