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Finding the Fourth Proportional to 315,149.38, 434,908.92 and 171,910.06

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Solution

The fourth proportional to 315,149.38, 434,908.92 and 171,910.06 is: 237,237.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,149.38 : 434,908.92 = 171,910.06 : x
  2. Step 2: Convert to fraction form
    315,149.38/434,908.92 = 171,910.06/x
  3. Step 3: Cross multiply
    315,149.38x = 434,908.92 × 171,910.06
  4. Step 4: Simplify right side
    315,149.38x = 74,765,218,531.74
  5. Step 5: Solve for x
    x = 74,765,218,531.74/315,149.38
  6. Step 6: Final answer
    x = 237,237.40

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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.