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Finding the Fourth Proportional to 299,189.20, 448,006.20 and 236,462.80

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Solution

The fourth proportional to 299,189.20, 448,006.20 and 236,462.80 is: 354,079.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,189.20 : 448,006.20 = 236,462.80 : x
  2. Step 2: Convert to fraction form
    299,189.20/448,006.20 = 236,462.80/x
  3. Step 3: Cross multiply
    299,189.20x = 448,006.20 × 236,462.80
  4. Step 4: Simplify right side
    299,189.20x = 105,936,800,469.36
  5. Step 5: Solve for x
    x = 105,936,800,469.36/299,189.20
  6. Step 6: Final answer
    x = 354,079.63

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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.