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Finding the Fourth Proportional to 299,794.60, 449,469.46 and 181,437.80

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Solution

The fourth proportional to 299,794.60, 449,469.46 and 181,437.80 is: 272,022.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,794.60 : 449,469.46 = 181,437.80 : x
  2. Step 2: Convert to fraction form
    299,794.60/449,469.46 = 181,437.80/x
  3. Step 3: Cross multiply
    299,794.60x = 449,469.46 × 181,437.80
  4. Step 4: Simplify right side
    299,794.60x = 81,550,749,989.59
  5. Step 5: Solve for x
    x = 81,550,749,989.59/299,794.60
  6. Step 6: Final answer
    x = 272,022.08

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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.