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Finding the Fourth Proportional to 299,367.22, 448,729.44 and 149,311.06

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Solution

The fourth proportional to 299,367.22, 448,729.44 and 149,311.06 is: 223,806.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,367.22 : 448,729.44 = 149,311.06 : x
  2. Step 2: Convert to fraction form
    299,367.22/448,729.44 = 149,311.06/x
  3. Step 3: Cross multiply
    299,367.22x = 448,729.44 × 149,311.06
  4. Step 4: Simplify right side
    299,367.22x = 67,000,268,339.61
  5. Step 5: Solve for x
    x = 67,000,268,339.61/299,367.22
  6. Step 6: Final answer
    x = 223,806.29

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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.