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Finding the Fourth Proportional to 271,450.24, 407,175.36 and 84,424.48

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Solution

The fourth proportional to 271,450.24, 407,175.36 and 84,424.48 is: 126,636.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,450.24 : 407,175.36 = 84,424.48 : x
  2. Step 2: Convert to fraction form
    271,450.24/407,175.36 = 84,424.48/x
  3. Step 3: Cross multiply
    271,450.24x = 407,175.36 × 84,424.48
  4. Step 4: Simplify right side
    271,450.24x = 34,375,568,036.81
  5. Step 5: Solve for x
    x = 34,375,568,036.81/271,450.24
  6. Step 6: Final answer
    x = 126,636.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.