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Finding the Fourth Proportional to 334,502.40, 461,578.56 and 189,324.48

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Solution

The fourth proportional to 334,502.40, 461,578.56 and 189,324.48 is: 261,248.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,502.40 : 461,578.56 = 189,324.48 : x
  2. Step 2: Convert to fraction form
    334,502.40/461,578.56 = 189,324.48/x
  3. Step 3: Cross multiply
    334,502.40x = 461,578.56 × 189,324.48
  4. Step 4: Simplify right side
    334,502.40x = 87,388,120,851.15
  5. Step 5: Solve for x
    x = 87,388,120,851.15/334,502.40
  6. Step 6: Final answer
    x = 261,248.11

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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.