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Finding the Fourth Proportional to 308,976.76, 463,640.47 and 166,820.14

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Solution

The fourth proportional to 308,976.76, 463,640.47 and 166,820.14 is: 250,324.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,976.76 : 463,640.47 = 166,820.14 : x
  2. Step 2: Convert to fraction form
    308,976.76/463,640.47 = 166,820.14/x
  3. Step 3: Cross multiply
    308,976.76x = 463,640.47 × 166,820.14
  4. Step 4: Simplify right side
    308,976.76x = 77,344,568,115.07
  5. Step 5: Solve for x
    x = 77,344,568,115.07/308,976.76
  6. Step 6: Final answer
    x = 250,324.87

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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.