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Finding the Fourth Proportional to 334,537.34, 461,668.38 and 189,343.12

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Solution

The fourth proportional to 334,537.34, 461,668.38 and 189,343.12 is: 261,297.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,537.34 : 461,668.38 = 189,343.12 : x
  2. Step 2: Convert to fraction form
    334,537.34/461,668.38 = 189,343.12/x
  3. Step 3: Cross multiply
    334,537.34x = 461,668.38 × 189,343.12
  4. Step 4: Simplify right side
    334,537.34x = 87,413,730,453.33
  5. Step 5: Solve for x
    x = 87,413,730,453.33/334,537.34
  6. Step 6: Final answer
    x = 261,297.38

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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.