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Finding the Fourth Proportional to 362,147.68, 499,754.46 and 200,998

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Solution

The fourth proportional to 362,147.68, 499,754.46 and 200,998 is: 277,372.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,147.68 : 499,754.46 = 200,998 : x
  2. Step 2: Convert to fraction form
    362,147.68/499,754.46 = 200,998/x
  3. Step 3: Cross multiply
    362,147.68x = 499,754.46 × 200,998
  4. Step 4: Simplify right side
    362,147.68x = 100,449,646,951.08
  5. Step 5: Solve for x
    x = 100,449,646,951.08/362,147.68
  6. Step 6: Final answer
    x = 277,372.06

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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.