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Finding the Fourth Proportional to 337,364.27, 505,796.41 and 204,213.02

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Solution

The fourth proportional to 337,364.27, 505,796.41 and 204,213.02 is: 306,168.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,364.27 : 505,796.41 = 204,213.02 : x
  2. Step 2: Convert to fraction form
    337,364.27/505,796.41 = 204,213.02/x
  3. Step 3: Cross multiply
    337,364.27x = 505,796.41 × 204,213.02
  4. Step 4: Simplify right side
    337,364.27x = 103,290,213,145.22
  5. Step 5: Solve for x
    x = 103,290,213,145.22/337,364.27
  6. Step 6: Final answer
    x = 306,168.21

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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.