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Finding the Fourth Proportional to 232,367.10, 348,550.65 and 206,997.90

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Solution

The fourth proportional to 232,367.10, 348,550.65 and 206,997.90 is: 310,496.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,367.10 : 348,550.65 = 206,997.90 : x
  2. Step 2: Convert to fraction form
    232,367.10/348,550.65 = 206,997.90/x
  3. Step 3: Cross multiply
    232,367.10x = 348,550.65 × 206,997.90
  4. Step 4: Simplify right side
    232,367.10x = 72,149,252,593.64
  5. Step 5: Solve for x
    x = 72,149,252,593.64/232,367.10
  6. Step 6: Final answer
    x = 310,496.85

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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.