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Finding the Fourth Proportional to 330,847.09, 456,422.56 and 203,447.41

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Solution

The fourth proportional to 330,847.09, 456,422.56 and 203,447.41 is: 280,667.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,847.09 : 456,422.56 = 203,447.41 : x
  2. Step 2: Convert to fraction form
    330,847.09/456,422.56 = 203,447.41/x
  3. Step 3: Cross multiply
    330,847.09x = 456,422.56 × 203,447.41
  4. Step 4: Simplify right side
    330,847.09x = 92,857,987,697.57
  5. Step 5: Solve for x
    x = 92,857,987,697.57/330,847.09
  6. Step 6: Final answer
    x = 280,667.39

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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.