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Finding the Fourth Proportional to 271,282.24, 406,926.81 and 187,019.86

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Solution

The fourth proportional to 271,282.24, 406,926.81 and 187,019.86 is: 280,532.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,282.24 : 406,926.81 = 187,019.86 : x
  2. Step 2: Convert to fraction form
    271,282.24/406,926.81 = 187,019.86/x
  3. Step 3: Cross multiply
    271,282.24x = 406,926.81 × 187,019.86
  4. Step 4: Simplify right side
    271,282.24x = 76,103,396,452.59
  5. Step 5: Solve for x
    x = 76,103,396,452.59/271,282.24
  6. Step 6: Final answer
    x = 280,532.18

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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.