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Finding the Fourth Proportional to 305,734.30, 421,869.46 and 169,769.90

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Solution

The fourth proportional to 305,734.30, 421,869.46 and 169,769.90 is: 234,258.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,734.30 : 421,869.46 = 169,769.90 : x
  2. Step 2: Convert to fraction form
    305,734.30/421,869.46 = 169,769.90/x
  3. Step 3: Cross multiply
    305,734.30x = 421,869.46 × 169,769.90
  4. Step 4: Simplify right side
    305,734.30x = 71,620,736,037.25
  5. Step 5: Solve for x
    x = 71,620,736,037.25/305,734.30
  6. Step 6: Final answer
    x = 234,258.10

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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.