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Finding the Fourth Proportional to 299,041.44, 447,833.49 and 197,777.80

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Solution

The fourth proportional to 299,041.44, 447,833.49 and 197,777.80 is: 296,184.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,041.44 : 447,833.49 = 197,777.80 : x
  2. Step 2: Convert to fraction form
    299,041.44/447,833.49 = 197,777.80/x
  3. Step 3: Cross multiply
    299,041.44x = 447,833.49 × 197,777.80
  4. Step 4: Simplify right side
    299,041.44x = 88,571,522,418.52
  5. Step 5: Solve for x
    x = 88,571,522,418.52/299,041.44
  6. Step 6: Final answer
    x = 296,184.78

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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.