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Finding the Fourth Proportional to 271,874.40, 407,811.60 and 205,519.20

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Solution

The fourth proportional to 271,874.40, 407,811.60 and 205,519.20 is: 308,278.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,874.40 : 407,811.60 = 205,519.20 : x
  2. Step 2: Convert to fraction form
    271,874.40/407,811.60 = 205,519.20/x
  3. Step 3: Cross multiply
    271,874.40x = 407,811.60 × 205,519.20
  4. Step 4: Simplify right side
    271,874.40x = 83,813,113,782.72
  5. Step 5: Solve for x
    x = 83,813,113,782.72/271,874.40
  6. Step 6: Final answer
    x = 308,278.80

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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.