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Finding the Fourth Proportional to 299,000.20, 447,722.70 and 193,246.60

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Solution

The fourth proportional to 299,000.20, 447,722.70 and 193,246.60 is: 289,367.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,000.20 : 447,722.70 = 193,246.60 : x
  2. Step 2: Convert to fraction form
    299,000.20/447,722.70 = 193,246.60/x
  3. Step 3: Cross multiply
    299,000.20x = 447,722.70 × 193,246.60
  4. Step 4: Simplify right side
    299,000.20x = 86,520,889,517.82
  5. Step 5: Solve for x
    x = 86,520,889,517.82/299,000.20
  6. Step 6: Final answer
    x = 289,367.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.