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Finding the Fourth Proportional to 271,940.80, 407,911.20 and 266,108.80

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Solution

The fourth proportional to 271,940.80, 407,911.20 and 266,108.80 is: 399,163.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,940.80 : 407,911.20 = 266,108.80 : x
  2. Step 2: Convert to fraction form
    271,940.80/407,911.20 = 266,108.80/x
  3. Step 3: Cross multiply
    271,940.80x = 407,911.20 × 266,108.80
  4. Step 4: Simplify right side
    271,940.80x = 108,548,759,938.56
  5. Step 5: Solve for x
    x = 108,548,759,938.56/271,940.80
  6. Step 6: Final answer
    x = 399,163.20

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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.