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Finding the Fourth Proportional to 271,814.60, 407,721.90 and 171,431.30

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Solution

The fourth proportional to 271,814.60, 407,721.90 and 171,431.30 is: 257,146.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,814.60 : 407,721.90 = 171,431.30 : x
  2. Step 2: Convert to fraction form
    271,814.60/407,721.90 = 171,431.30/x
  3. Step 3: Cross multiply
    271,814.60x = 407,721.90 × 171,431.30
  4. Step 4: Simplify right side
    271,814.60x = 69,896,295,355.47
  5. Step 5: Solve for x
    x = 69,896,295,355.47/271,814.60
  6. Step 6: Final answer
    x = 257,146.95

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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.