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Finding the Fourth Proportional to 271,811.60, 407,717.40 and 215,824.40

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Solution

The fourth proportional to 271,811.60, 407,717.40 and 215,824.40 is: 323,736.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,811.60 : 407,717.40 = 215,824.40 : x
  2. Step 2: Convert to fraction form
    271,811.60/407,717.40 = 215,824.40/x
  3. Step 3: Cross multiply
    271,811.60x = 407,717.40 × 215,824.40
  4. Step 4: Simplify right side
    271,811.60x = 87,995,363,224.56
  5. Step 5: Solve for x
    x = 87,995,363,224.56/271,811.60
  6. Step 6: Final answer
    x = 323,736.60

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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.