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Finding the Fourth Proportional to 312,600.20, 431,387.70 and 169,363.88

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Solution

The fourth proportional to 312,600.20, 431,387.70 and 169,363.88 is: 233,721.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,600.20 : 431,387.70 = 169,363.88 : x
  2. Step 2: Convert to fraction form
    312,600.20/431,387.70 = 169,363.88/x
  3. Step 3: Cross multiply
    312,600.20x = 431,387.70 × 169,363.88
  4. Step 4: Simplify right side
    312,600.20x = 73,061,494,656.28
  5. Step 5: Solve for x
    x = 73,061,494,656.28/312,600.20
  6. Step 6: Final answer
    x = 233,721.84

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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.