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Finding the Fourth Proportional to 308,964.60, 463,187.70 and 161,220.60

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Solution

The fourth proportional to 308,964.60, 463,187.70 and 161,220.60 is: 241,695.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,964.60 : 463,187.70 = 161,220.60 : x
  2. Step 2: Convert to fraction form
    308,964.60/463,187.70 = 161,220.60/x
  3. Step 3: Cross multiply
    308,964.60x = 463,187.70 × 161,220.60
  4. Step 4: Simplify right side
    308,964.60x = 74,675,398,906.62
  5. Step 5: Solve for x
    x = 74,675,398,906.62/308,964.60
  6. Step 6: Final answer
    x = 241,695.65

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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.