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Finding the Fourth Proportional to 562,105, 843,168.46 and 206,936.20

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Solution

The fourth proportional to 562,105, 843,168.46 and 206,936.20 is: 310,408.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,105 : 843,168.46 = 206,936.20 : x
  2. Step 2: Convert to fraction form
    562,105/843,168.46 = 206,936.20/x
  3. Step 3: Cross multiply
    562,105x = 843,168.46 × 206,936.20
  4. Step 4: Simplify right side
    562,105x = 174,482,077,072.25
  5. Step 5: Solve for x
    x = 174,482,077,072.25/562,105
  6. Step 6: Final answer
    x = 310,408.33

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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.