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Finding the Fourth Proportional to 271,467.96, 407,227.86 and 84,429.24

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Solution

The fourth proportional to 271,467.96, 407,227.86 and 84,429.24 is: 126,651.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,467.96 : 407,227.86 = 84,429.24 : x
  2. Step 2: Convert to fraction form
    271,467.96/407,227.86 = 84,429.24/x
  3. Step 3: Cross multiply
    271,467.96x = 407,227.86 × 84,429.24
  4. Step 4: Simplify right side
    271,467.96x = 34,381,938,726.63
  5. Step 5: Solve for x
    x = 34,381,938,726.63/271,467.96
  6. Step 6: Final answer
    x = 126,651.92

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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.