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Finding the Fourth Proportional to 308,926.20, 463,778.10 and 166,884.60

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Solution

The fourth proportional to 308,926.20, 463,778.10 and 166,884.60 is: 250,536.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,926.20 : 463,778.10 = 166,884.60 : x
  2. Step 2: Convert to fraction form
    308,926.20/463,778.10 = 166,884.60/x
  3. Step 3: Cross multiply
    308,926.20x = 463,778.10 × 166,884.60
  4. Step 4: Simplify right side
    308,926.20x = 77,397,422,707.26
  5. Step 5: Solve for x
    x = 77,397,422,707.26/308,926.20
  6. Step 6: Final answer
    x = 250,536.93

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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.