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Finding the Fourth Proportional to 328,230, 452,732.46 and 200,968.44

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Solution

The fourth proportional to 328,230, 452,732.46 and 200,968.44 is: 277,198.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,230 : 452,732.46 = 200,968.44 : x
  2. Step 2: Convert to fraction form
    328,230/452,732.46 = 200,968.44/x
  3. Step 3: Cross multiply
    328,230x = 452,732.46 × 200,968.44
  4. Step 4: Simplify right side
    328,230x = 90,984,936,223.56
  5. Step 5: Solve for x
    x = 90,984,936,223.56/328,230
  6. Step 6: Final answer
    x = 277,198.72

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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.