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Finding the Fourth Proportional to 271,654.84, 374,780.82 and 200,205.28

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Solution

The fourth proportional to 271,654.84, 374,780.82 and 200,205.28 is: 276,207.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,654.84 : 374,780.82 = 200,205.28 : x
  2. Step 2: Convert to fraction form
    271,654.84/374,780.82 = 200,205.28/x
  3. Step 3: Cross multiply
    271,654.84x = 374,780.82 × 200,205.28
  4. Step 4: Simplify right side
    271,654.84x = 75,033,099,006.73
  5. Step 5: Solve for x
    x = 75,033,099,006.73/271,654.84
  6. Step 6: Final answer
    x = 276,207.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.