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Finding the Fourth Proportional to 287,343.75, 396,147.87 and 201,186.84

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Solution

The fourth proportional to 287,343.75, 396,147.87 and 201,186.84 is: 277,367.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,343.75 : 396,147.87 = 201,186.84 : x
  2. Step 2: Convert to fraction form
    287,343.75/396,147.87 = 201,186.84/x
  3. Step 3: Cross multiply
    287,343.75x = 396,147.87 × 201,186.84
  4. Step 4: Simplify right side
    287,343.75x = 79,699,738,138.03
  5. Step 5: Solve for x
    x = 79,699,738,138.03/287,343.75
  6. Step 6: Final answer
    x = 277,367.22

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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.