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Finding the Fourth Proportional to 213,486.94, 320,229.99 and 200,496.16

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Solution

The fourth proportional to 213,486.94, 320,229.99 and 200,496.16 is: 300,743.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,486.94 : 320,229.99 = 200,496.16 : x
  2. Step 2: Convert to fraction form
    213,486.94/320,229.99 = 200,496.16/x
  3. Step 3: Cross multiply
    213,486.94x = 320,229.99 × 200,496.16
  4. Step 4: Simplify right side
    213,486.94x = 64,204,883,311.84
  5. Step 5: Solve for x
    x = 64,204,883,311.84/213,486.94
  6. Step 6: Final answer
    x = 300,743.85

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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.