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Finding the Fourth Proportional to 315,194.94, 434,951.30 and 179,261.96

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Solution

The fourth proportional to 315,194.94, 434,951.30 and 179,261.96 is: 247,371.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,194.94 : 434,951.30 = 179,261.96 : x
  2. Step 2: Convert to fraction form
    315,194.94/434,951.30 = 179,261.96/x
  3. Step 3: Cross multiply
    315,194.94x = 434,951.30 × 179,261.96
  4. Step 4: Simplify right side
    315,194.94x = 77,970,222,542.55
  5. Step 5: Solve for x
    x = 77,970,222,542.55/315,194.94
  6. Step 6: Final answer
    x = 247,371.43

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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.