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Finding the Fourth Proportional to 600,198.42, 828,243.12 and 328,213.44

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Solution

The fourth proportional to 600,198.42, 828,243.12 and 328,213.44 is: 452,917.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,198.42 : 828,243.12 = 328,213.44 : x
  2. Step 2: Convert to fraction form
    600,198.42/828,243.12 = 328,213.44/x
  3. Step 3: Cross multiply
    600,198.42x = 828,243.12 × 328,213.44
  4. Step 4: Simplify right side
    600,198.42x = 271,840,523,571.53
  5. Step 5: Solve for x
    x = 271,840,523,571.53/600,198.42
  6. Step 6: Final answer
    x = 452,917.76

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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.