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Finding the Fourth Proportional to 315,126.26, 434,880.11 and 171,891.44

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Solution

The fourth proportional to 315,126.26, 434,880.11 and 171,891.44 is: 237,213.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,126.26 : 434,880.11 = 171,891.44 : x
  2. Step 2: Convert to fraction form
    315,126.26/434,880.11 = 171,891.44/x
  3. Step 3: Cross multiply
    315,126.26x = 434,880.11 × 171,891.44
  4. Step 4: Simplify right side
    315,126.26x = 74,752,168,335.26
  5. Step 5: Solve for x
    x = 74,752,168,335.26/315,126.26
  6. Step 6: Final answer
    x = 237,213.39

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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.