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Finding the Fourth Proportional to 299,079.60, 448,619.40 and 199,546.80

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Solution

The fourth proportional to 299,079.60, 448,619.40 and 199,546.80 is: 299,320.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,079.60 : 448,619.40 = 199,546.80 : x
  2. Step 2: Convert to fraction form
    299,079.60/448,619.40 = 199,546.80/x
  3. Step 3: Cross multiply
    299,079.60x = 448,619.40 × 199,546.80
  4. Step 4: Simplify right side
    299,079.60x = 89,520,565,687.92
  5. Step 5: Solve for x
    x = 89,520,565,687.92/299,079.60
  6. Step 6: Final answer
    x = 299,320.20

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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.