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Finding the Fourth Proportional to 299,348.80, 449,023.20 and 288,851.20

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Solution

The fourth proportional to 299,348.80, 449,023.20 and 288,851.20 is: 433,276.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,348.80 : 449,023.20 = 288,851.20 : x
  2. Step 2: Convert to fraction form
    299,348.80/449,023.20 = 288,851.20/x
  3. Step 3: Cross multiply
    299,348.80x = 449,023.20 × 288,851.20
  4. Step 4: Simplify right side
    299,348.80x = 129,700,890,147.84
  5. Step 5: Solve for x
    x = 129,700,890,147.84/299,348.80
  6. Step 6: Final answer
    x = 433,276.80

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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.