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Finding the Fourth Proportional to 271,294.80, 406,942.20 and 231,205.20

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Solution

The fourth proportional to 271,294.80, 406,942.20 and 231,205.20 is: 346,807.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,294.80 : 406,942.20 = 231,205.20 : x
  2. Step 2: Convert to fraction form
    271,294.80/406,942.20 = 231,205.20/x
  3. Step 3: Cross multiply
    271,294.80x = 406,942.20 × 231,205.20
  4. Step 4: Simplify right side
    271,294.80x = 94,087,152,739.44
  5. Step 5: Solve for x
    x = 94,087,152,739.44/271,294.80
  6. Step 6: Final answer
    x = 346,807.80

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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.