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Finding the Fourth Proportional to 308,718.87, 463,183.20 and 166,577.64

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Solution

The fourth proportional to 308,718.87, 463,183.20 and 166,577.64 is: 249,923.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,718.87 : 463,183.20 = 166,577.64 : x
  2. Step 2: Convert to fraction form
    308,718.87/463,183.20 = 166,577.64/x
  3. Step 3: Cross multiply
    308,718.87x = 463,183.20 × 166,577.64
  4. Step 4: Simplify right side
    308,718.87x = 77,155,964,343.65
  5. Step 5: Solve for x
    x = 77,155,964,343.65/308,718.87
  6. Step 6: Final answer
    x = 249,923.06

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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.