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Finding the Fourth Proportional to 308,971.26, 463,632.21 and 166,814.64

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Solution

The fourth proportional to 308,971.26, 463,632.21 and 166,814.64 is: 250,316.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,971.26 : 463,632.21 = 166,814.64 : x
  2. Step 2: Convert to fraction form
    308,971.26/463,632.21 = 166,814.64/x
  3. Step 3: Cross multiply
    308,971.26x = 463,632.21 × 166,814.64
  4. Step 4: Simplify right side
    308,971.26x = 77,340,640,203.55
  5. Step 5: Solve for x
    x = 77,340,640,203.55/308,971.26
  6. Step 6: Final answer
    x = 250,316.62

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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.