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Finding the Fourth Proportional to 271,335.42, 406,944.41 and 171,361.98

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Solution

The fourth proportional to 271,335.42, 406,944.41 and 171,361.98 is: 257,005.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,335.42 : 406,944.41 = 171,361.98 : x
  2. Step 2: Convert to fraction form
    271,335.42/406,944.41 = 171,361.98/x
  3. Step 3: Cross multiply
    271,335.42x = 406,944.41 × 171,361.98
  4. Step 4: Simplify right side
    271,335.42x = 69,734,798,990.72
  5. Step 5: Solve for x
    x = 69,734,798,990.72/271,335.42
  6. Step 6: Final answer
    x = 257,005.88

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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.