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Finding the Fourth Proportional to 271,560, 407,340.72 and 84,571.68

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Solution

The fourth proportional to 271,560, 407,340.72 and 84,571.68 is: 126,857.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,560 : 407,340.72 = 84,571.68 : x
  2. Step 2: Convert to fraction form
    271,560/407,340.72 = 84,571.68/x
  3. Step 3: Cross multiply
    271,560x = 407,340.72 × 84,571.68
  4. Step 4: Simplify right side
    271,560x = 34,449,489,022.81
  5. Step 5: Solve for x
    x = 34,449,489,022.81/271,560
  6. Step 6: Final answer
    x = 126,857.74

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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.