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Finding the Fourth Proportional to 334,570.84, 461,648.17 and 189,375.91

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Solution

The fourth proportional to 334,570.84, 461,648.17 and 189,375.91 is: 261,305.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,570.84 : 461,648.17 = 189,375.91 : x
  2. Step 2: Convert to fraction form
    334,570.84/461,648.17 = 189,375.91/x
  3. Step 3: Cross multiply
    334,570.84x = 461,648.17 × 189,375.91
  4. Step 4: Simplify right side
    334,570.84x = 87,425,042,293.58
  5. Step 5: Solve for x
    x = 87,425,042,293.58/334,570.84
  6. Step 6: Final answer
    x = 261,305.03

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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.