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Finding the Fourth Proportional to 512,062.20, 768,093.30 and 192,213.45

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Solution

The fourth proportional to 512,062.20, 768,093.30 and 192,213.45 is: 288,320.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,062.20 : 768,093.30 = 192,213.45 : x
  2. Step 2: Convert to fraction form
    512,062.20/768,093.30 = 192,213.45/x
  3. Step 3: Cross multiply
    512,062.20x = 768,093.30 × 192,213.45
  4. Step 4: Simplify right side
    512,062.20x = 147,637,863,114.89
  5. Step 5: Solve for x
    x = 147,637,863,114.89/512,062.20
  6. Step 6: Final answer
    x = 288,320.18

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1.5x scale

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.