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Finding the Fourth Proportional to 299,383.80, 449,075.70 and 269,859.30

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Solution

The fourth proportional to 299,383.80, 449,075.70 and 269,859.30 is: 404,788.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,383.80 : 449,075.70 = 269,859.30 : x
  2. Step 2: Convert to fraction form
    299,383.80/449,075.70 = 269,859.30/x
  3. Step 3: Cross multiply
    299,383.80x = 449,075.70 × 269,859.30
  4. Step 4: Simplify right side
    299,383.80x = 121,187,254,049.01
  5. Step 5: Solve for x
    x = 121,187,254,049.01/299,383.80
  6. Step 6: Final answer
    x = 404,788.95

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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.