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Finding the Fourth Proportional to 362,133.36, 499,736.52 and 200,978.96

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Solution

The fourth proportional to 362,133.36, 499,736.52 and 200,978.96 is: 277,346.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,133.36 : 499,736.52 = 200,978.96 : x
  2. Step 2: Convert to fraction form
    362,133.36/499,736.52 = 200,978.96/x
  3. Step 3: Cross multiply
    362,133.36x = 499,736.52 × 200,978.96
  4. Step 4: Simplify right side
    362,133.36x = 100,436,526,063.62
  5. Step 5: Solve for x
    x = 100,436,526,063.62/362,133.36
  6. Step 6: Final answer
    x = 277,346.79

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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.