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Finding the Fourth Proportional to 299,297.52, 446,591.52 and 289,149.84

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Solution

The fourth proportional to 299,297.52, 446,591.52 and 289,149.84 is: 431,449.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,297.52 : 446,591.52 = 289,149.84 : x
  2. Step 2: Convert to fraction form
    299,297.52/446,591.52 = 289,149.84/x
  3. Step 3: Cross multiply
    299,297.52x = 446,591.52 × 289,149.84
  4. Step 4: Simplify right side
    299,297.52x = 129,131,866,553.36
  5. Step 5: Solve for x
    x = 129,131,866,553.36/299,297.52
  6. Step 6: Final answer
    x = 431,449.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.