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Finding the Fourth Proportional to 334,761, 461,857.80 and 189,546.96

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Solution

The fourth proportional to 334,761, 461,857.80 and 189,546.96 is: 261,511.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,761 : 461,857.80 = 189,546.96 : x
  2. Step 2: Convert to fraction form
    334,761/461,857.80 = 189,546.96/x
  3. Step 3: Cross multiply
    334,761x = 461,857.80 × 189,546.96
  4. Step 4: Simplify right side
    334,761x = 87,543,741,942.29
  5. Step 5: Solve for x
    x = 87,543,741,942.29/334,761
  6. Step 6: Final answer
    x = 261,511.17

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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.