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Finding the Fourth Proportional to 275,375.84, 412,261.43 and 204,612.11

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Solution

The fourth proportional to 275,375.84, 412,261.43 and 204,612.11 is: 306,322.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,375.84 : 412,261.43 = 204,612.11 : x
  2. Step 2: Convert to fraction form
    275,375.84/412,261.43 = 204,612.11/x
  3. Step 3: Cross multiply
    275,375.84x = 412,261.43 × 204,612.11
  4. Step 4: Simplify right side
    275,375.84x = 84,353,680,676.47
  5. Step 5: Solve for x
    x = 84,353,680,676.47/275,375.84
  6. Step 6: Final answer
    x = 306,322.02

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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.