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Finding the Fourth Proportional to 271,311.20, 407,355.60 and 205,215.20

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Solution

The fourth proportional to 271,311.20, 407,355.60 and 205,215.20 is: 308,116.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,311.20 : 407,355.60 = 205,215.20 : x
  2. Step 2: Convert to fraction form
    271,311.20/407,355.60 = 205,215.20/x
  3. Step 3: Cross multiply
    271,311.20x = 407,355.60 × 205,215.20
  4. Step 4: Simplify right side
    271,311.20x = 83,595,560,925.12
  5. Step 5: Solve for x
    x = 83,595,560,925.12/271,311.20
  6. Step 6: Final answer
    x = 308,116.88

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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.