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Finding the Fourth Proportional to 271,764.26, 405,816.22 and 221,943.20

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Solution

The fourth proportional to 271,764.26, 405,816.22 and 221,943.20 is: 331,420.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,764.26 : 405,816.22 = 221,943.20 : x
  2. Step 2: Convert to fraction form
    271,764.26/405,816.22 = 221,943.20/x
  3. Step 3: Cross multiply
    271,764.26x = 405,816.22 × 221,943.20
  4. Step 4: Simplify right side
    271,764.26x = 90,068,150,478.70
  5. Step 5: Solve for x
    x = 90,068,150,478.70/271,764.26
  6. Step 6: Final answer
    x = 331,420.15

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.