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Finding the Fourth Proportional to 414,061.20, 620,938.20 and 164,691.60

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Solution

The fourth proportional to 414,061.20, 620,938.20 and 164,691.60 is: 246,976.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,061.20 : 620,938.20 = 164,691.60 : x
  2. Step 2: Convert to fraction form
    414,061.20/620,938.20 = 164,691.60/x
  3. Step 3: Cross multiply
    414,061.20x = 620,938.20 × 164,691.60
  4. Step 4: Simplify right side
    414,061.20x = 102,263,305,659.12
  5. Step 5: Solve for x
    x = 102,263,305,659.12/414,061.20
  6. Step 6: Final answer
    x = 246,976.31

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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.