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Finding the Fourth Proportional to 414,960.30, 622,331.10 and 130,650.30

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Solution

The fourth proportional to 414,960.30, 622,331.10 and 130,650.30 is: 195,941.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,960.30 : 622,331.10 = 130,650.30 : x
  2. Step 2: Convert to fraction form
    414,960.30/622,331.10 = 130,650.30/x
  3. Step 3: Cross multiply
    414,960.30x = 622,331.10 × 130,650.30
  4. Step 4: Simplify right side
    414,960.30x = 81,307,744,914.33
  5. Step 5: Solve for x
    x = 81,307,744,914.33/414,960.30
  6. Step 6: Final answer
    x = 195,941.02

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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.