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Finding the Fourth Proportional to 271,701.86, 407,718.59 and 171,724.37

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Solution

The fourth proportional to 271,701.86, 407,718.59 and 171,724.37 is: 257,691.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,701.86 : 407,718.59 = 171,724.37 : x
  2. Step 2: Convert to fraction form
    271,701.86/407,718.59 = 171,724.37/x
  3. Step 3: Cross multiply
    271,701.86x = 407,718.59 × 171,724.37
  4. Step 4: Simplify right side
    271,701.86x = 70,015,215,107.82
  5. Step 5: Solve for x
    x = 70,015,215,107.82/271,701.86
  6. Step 6: Final answer
    x = 257,691.34

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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.