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Finding the Fourth Proportional to 303,104.24, 454,936.80 and 153,449.68

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Solution

The fourth proportional to 303,104.24, 454,936.80 and 153,449.68 is: 230,316.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,104.24 : 454,936.80 = 153,449.68 : x
  2. Step 2: Convert to fraction form
    303,104.24/454,936.80 = 153,449.68/x
  3. Step 3: Cross multiply
    303,104.24x = 454,936.80 × 153,449.68
  4. Step 4: Simplify right side
    303,104.24x = 69,809,906,380.22
  5. Step 5: Solve for x
    x = 69,809,906,380.22/303,104.24
  6. Step 6: Final answer
    x = 230,316.50

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Why These Related Problems?

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