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Finding the Fourth Proportional to 456,796.12, 684,958.09 and 200,523.80

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Solution

The fourth proportional to 456,796.12, 684,958.09 and 200,523.80 is: 300,682.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,796.12 : 684,958.09 = 200,523.80 : x
  2. Step 2: Convert to fraction form
    456,796.12/684,958.09 = 200,523.80/x
  3. Step 3: Cross multiply
    456,796.12x = 684,958.09 × 200,523.80
  4. Step 4: Simplify right side
    456,796.12x = 137,350,399,047.54
  5. Step 5: Solve for x
    x = 137,350,399,047.54/456,796.12
  6. Step 6: Final answer
    x = 300,682.06

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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.