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Finding the Fourth Proportional to 305,786.79, 421,974.20 and 169,829.49

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Solution

The fourth proportional to 305,786.79, 421,974.20 and 169,829.49 is: 234,358.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,786.79 : 421,974.20 = 169,829.49 : x
  2. Step 2: Convert to fraction form
    305,786.79/421,974.20 = 169,829.49/x
  3. Step 3: Cross multiply
    305,786.79x = 421,974.20 × 169,829.49
  4. Step 4: Simplify right side
    305,786.79x = 71,663,662,966.87
  5. Step 5: Solve for x
    x = 71,663,662,966.87/305,786.79
  6. Step 6: Final answer
    x = 234,358.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.