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Finding the Fourth Proportional to 409,592.88, 564,974.34 and 271,768.86

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Solution

The fourth proportional to 409,592.88, 564,974.34 and 271,768.86 is: 374,865.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,592.88 : 564,974.34 = 271,768.86 : x
  2. Step 2: Convert to fraction form
    409,592.88/564,974.34 = 271,768.86/x
  3. Step 3: Cross multiply
    409,592.88x = 564,974.34 × 271,768.86
  4. Step 4: Simplify right side
    409,592.88x = 153,542,432,311.05
  5. Step 5: Solve for x
    x = 153,542,432,311.05/409,592.88
  6. Step 6: Final answer
    x = 374,865.97

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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.