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Finding the Fourth Proportional to 251,398.49, 347,427.63 and 206,004.87

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Solution

The fourth proportional to 251,398.49, 347,427.63 and 206,004.87 is: 284,694.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,398.49 : 347,427.63 = 206,004.87 : x
  2. Step 2: Convert to fraction form
    251,398.49/347,427.63 = 206,004.87/x
  3. Step 3: Cross multiply
    251,398.49x = 347,427.63 × 206,004.87
  4. Step 4: Simplify right side
    251,398.49x = 71,571,783,752.56
  5. Step 5: Solve for x
    x = 71,571,783,752.56/251,398.49
  6. Step 6: Final answer
    x = 284,694.57

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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.