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Finding the Fourth Proportional to 299,410.80, 449,116.20 and 269,886.30

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Solution

The fourth proportional to 299,410.80, 449,116.20 and 269,886.30 is: 404,829.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,410.80 : 449,116.20 = 269,886.30 : x
  2. Step 2: Convert to fraction form
    299,410.80/449,116.20 = 269,886.30/x
  3. Step 3: Cross multiply
    299,410.80x = 449,116.20 × 269,886.30
  4. Step 4: Simplify right side
    299,410.80x = 121,210,309,488.06
  5. Step 5: Solve for x
    x = 121,210,309,488.06/299,410.80
  6. Step 6: Final answer
    x = 404,829.45

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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.