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Finding the Fourth Proportional to 271,284.75, 406,930.56 and 187,022.37

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Solution

The fourth proportional to 271,284.75, 406,930.56 and 187,022.37 is: 280,535.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,284.75 : 406,930.56 = 187,022.37 : x
  2. Step 2: Convert to fraction form
    271,284.75/406,930.56 = 187,022.37/x
  3. Step 3: Cross multiply
    271,284.75x = 406,930.56 × 187,022.37
  4. Step 4: Simplify right side
    271,284.75x = 76,105,117,756.63
  5. Step 5: Solve for x
    x = 76,105,117,756.63/271,284.75
  6. Step 6: Final answer
    x = 280,535.92

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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.