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Finding the Fourth Proportional to 305,493.24, 421,569.50 and 169,533.12

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Solution

The fourth proportional to 305,493.24, 421,569.50 and 169,533.12 is: 233,949.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,493.24 : 421,569.50 = 169,533.12 : x
  2. Step 2: Convert to fraction form
    305,493.24/421,569.50 = 169,533.12/x
  3. Step 3: Cross multiply
    305,493.24x = 421,569.50 × 169,533.12
  4. Step 4: Simplify right side
    305,493.24x = 71,469,992,631.84
  5. Step 5: Solve for x
    x = 71,469,992,631.84/305,493.24
  6. Step 6: Final answer
    x = 233,949.51

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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.