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Finding the Fourth Proportional to 414,964.20, 622,459.10 and 162,234.60

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Solution

The fourth proportional to 414,964.20, 622,459.10 and 162,234.60 is: 243,356.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,964.20 : 622,459.10 = 162,234.60 : x
  2. Step 2: Convert to fraction form
    414,964.20/622,459.10 = 162,234.60/x
  3. Step 3: Cross multiply
    414,964.20x = 622,459.10 × 162,234.60
  4. Step 4: Simplify right side
    414,964.20x = 100,984,403,104.86
  5. Step 5: Solve for x
    x = 100,984,403,104.86/414,964.20
  6. Step 6: Final answer
    x = 243,356.90

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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.