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Finding the Fourth Proportional to 271,039.40, 406,522.19 and 71,343.06

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Solution

The fourth proportional to 271,039.40, 406,522.19 and 71,343.06 is: 107,004.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,039.40 : 406,522.19 = 71,343.06 : x
  2. Step 2: Convert to fraction form
    271,039.40/406,522.19 = 71,343.06/x
  3. Step 3: Cross multiply
    271,039.40x = 406,522.19 × 71,343.06
  4. Step 4: Simplify right side
    271,039.40x = 29,002,535,619.48
  5. Step 5: Solve for x
    x = 29,002,535,619.48/271,039.40
  6. Step 6: Final answer
    x = 107,004.87

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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.