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Finding the Fourth Proportional to 271,616.63, 407,447.42 and 84,628.13

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Solution

The fourth proportional to 271,616.63, 407,447.42 and 84,628.13 is: 126,949.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,616.63 : 407,447.42 = 84,628.13 : x
  2. Step 2: Convert to fraction form
    271,616.63/407,447.42 = 84,628.13/x
  3. Step 3: Cross multiply
    271,616.63x = 407,447.42 × 84,628.13
  4. Step 4: Simplify right side
    271,616.63x = 34,481,510,767.55
  5. Step 5: Solve for x
    x = 34,481,510,767.55/271,616.63
  6. Step 6: Final answer
    x = 126,949.19

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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.