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Finding the Fourth Proportional to 275,847.28, 414,393.80 and 163,601.13

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Solution

The fourth proportional to 275,847.28, 414,393.80 and 163,601.13 is: 245,771.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,847.28 : 414,393.80 = 163,601.13 : x
  2. Step 2: Convert to fraction form
    275,847.28/414,393.80 = 163,601.13/x
  3. Step 3: Cross multiply
    275,847.28x = 414,393.80 × 163,601.13
  4. Step 4: Simplify right side
    275,847.28x = 67,795,294,680.97
  5. Step 5: Solve for x
    x = 67,795,294,680.97/275,847.28
  6. Step 6: Final answer
    x = 245,771.12

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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.