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Finding the Fourth Proportional to 271,816.60, 407,724.90 and 171,433.30

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Solution

The fourth proportional to 271,816.60, 407,724.90 and 171,433.30 is: 257,149.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,816.60 : 407,724.90 = 171,433.30 : x
  2. Step 2: Convert to fraction form
    271,816.60/407,724.90 = 171,433.30/x
  3. Step 3: Cross multiply
    271,816.60x = 407,724.90 × 171,433.30
  4. Step 4: Simplify right side
    271,816.60x = 69,897,625,099.17
  5. Step 5: Solve for x
    x = 69,897,625,099.17/271,816.60
  6. Step 6: Final answer
    x = 257,149.95

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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.