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Finding the Fourth Proportional to 310,003.80, 463,839.30 and 205,027.80

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Solution

The fourth proportional to 310,003.80, 463,839.30 and 205,027.80 is: 306,770.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,003.80 : 463,839.30 = 205,027.80 : x
  2. Step 2: Convert to fraction form
    310,003.80/463,839.30 = 205,027.80/x
  3. Step 3: Cross multiply
    310,003.80x = 463,839.30 × 205,027.80
  4. Step 4: Simplify right side
    310,003.80x = 95,099,951,232.54
  5. Step 5: Solve for x
    x = 95,099,951,232.54/310,003.80
  6. Step 6: Final answer
    x = 306,770.28

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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.