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Finding the Fourth Proportional to 441,374.28, 661,542.94 and 204,215.88

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Solution

The fourth proportional to 441,374.28, 661,542.94 and 204,215.88 is: 306,083.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,374.28 : 661,542.94 = 204,215.88 : x
  2. Step 2: Convert to fraction form
    441,374.28/661,542.94 = 204,215.88/x
  3. Step 3: Cross multiply
    441,374.28x = 661,542.94 × 204,215.88
  4. Step 4: Simplify right side
    441,374.28x = 135,097,573,649.89
  5. Step 5: Solve for x
    x = 135,097,573,649.89/441,374.28
  6. Step 6: Final answer
    x = 306,083.93

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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.