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Finding the Fourth Proportional to 334,563.75, 461,638.44 and 189,368.82

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Solution

The fourth proportional to 334,563.75, 461,638.44 and 189,368.82 is: 261,295.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,563.75 : 461,638.44 = 189,368.82 : x
  2. Step 2: Convert to fraction form
    334,563.75/461,638.44 = 189,368.82/x
  3. Step 3: Cross multiply
    334,563.75x = 461,638.44 × 189,368.82
  4. Step 4: Simplify right side
    334,563.75x = 87,419,926,649.44
  5. Step 5: Solve for x
    x = 87,419,926,649.44/334,563.75
  6. Step 6: Final answer
    x = 261,295.27

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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.