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Finding the Fourth Proportional to 400,168.44, 599,698.62 and 200,234.52

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Solution

The fourth proportional to 400,168.44, 599,698.62 and 200,234.52 is: 300,074.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,168.44 : 599,698.62 = 200,234.52 : x
  2. Step 2: Convert to fraction form
    400,168.44/599,698.62 = 200,234.52/x
  3. Step 3: Cross multiply
    400,168.44x = 599,698.62 × 200,234.52
  4. Step 4: Simplify right side
    400,168.44x = 120,080,365,320.36
  5. Step 5: Solve for x
    x = 120,080,365,320.36/400,168.44
  6. Step 6: Final answer
    x = 300,074.55

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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.