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Finding the Fourth Proportional to 298,997.49, 412,651.55 and 169,955.38

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Solution

The fourth proportional to 298,997.49, 412,651.55 and 169,955.38 is: 234,558.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,997.49 : 412,651.55 = 169,955.38 : x
  2. Step 2: Convert to fraction form
    298,997.49/412,651.55 = 169,955.38/x
  3. Step 3: Cross multiply
    298,997.49x = 412,651.55 × 169,955.38
  4. Step 4: Simplify right side
    298,997.49x = 70,132,351,928.54
  5. Step 5: Solve for x
    x = 70,132,351,928.54/298,997.49
  6. Step 6: Final answer
    x = 234,558.33

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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.