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Finding the Fourth Proportional to 274,349.16, 378,731.25 and 206,392.05

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Solution

The fourth proportional to 274,349.16, 378,731.25 and 206,392.05 is: 284,918.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,349.16 : 378,731.25 = 206,392.05 : x
  2. Step 2: Convert to fraction form
    274,349.16/378,731.25 = 206,392.05/x
  3. Step 3: Cross multiply
    274,349.16x = 378,731.25 × 206,392.05
  4. Step 4: Simplify right side
    274,349.16x = 78,167,119,086.56
  5. Step 5: Solve for x
    x = 78,167,119,086.56/274,349.16
  6. Step 6: Final answer
    x = 284,918.38

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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.