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Finding the Fourth Proportional to 308,719.38, 463,183.96 and 166,578.14

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Solution

The fourth proportional to 308,719.38, 463,183.96 and 166,578.14 is: 249,923.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,719.38 : 463,183.96 = 166,578.14 : x
  2. Step 2: Convert to fraction form
    308,719.38/463,183.96 = 166,578.14/x
  3. Step 3: Cross multiply
    308,719.38x = 463,183.96 × 166,578.14
  4. Step 4: Simplify right side
    308,719.38x = 77,156,322,534.63
  5. Step 5: Solve for x
    x = 77,156,322,534.63/308,719.38
  6. Step 6: Final answer
    x = 249,923.81

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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.