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Finding the Fourth Proportional to 305,245.24, 457,805.50 and 115,640.24

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Solution

The fourth proportional to 305,245.24, 457,805.50 and 115,640.24 is: 173,436.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,245.24 : 457,805.50 = 115,640.24 : x
  2. Step 2: Convert to fraction form
    305,245.24/457,805.50 = 115,640.24/x
  3. Step 3: Cross multiply
    305,245.24x = 457,805.50 × 115,640.24
  4. Step 4: Simplify right side
    305,245.24x = 52,940,735,315.19
  5. Step 5: Solve for x
    x = 52,940,735,315.19/305,245.24
  6. Step 6: Final answer
    x = 173,436.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.