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Finding the Fourth Proportional to 299,247.36, 449,065.44 and 275,219.52

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Solution

The fourth proportional to 299,247.36, 449,065.44 and 275,219.52 is: 413,008.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,247.36 : 449,065.44 = 275,219.52 : x
  2. Step 2: Convert to fraction form
    299,247.36/449,065.44 = 275,219.52/x
  3. Step 3: Cross multiply
    299,247.36x = 449,065.44 × 275,219.52
  4. Step 4: Simplify right side
    299,247.36x = 123,591,574,845.39
  5. Step 5: Solve for x
    x = 123,591,574,845.39/299,247.36
  6. Step 6: Final answer
    x = 413,008.07

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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.