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Finding the Fourth Proportional to 275,993.64, 413,165.34 and 169,040.88

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Solution

The fourth proportional to 275,993.64, 413,165.34 and 169,040.88 is: 253,055.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,993.64 : 413,165.34 = 169,040.88 : x
  2. Step 2: Convert to fraction form
    275,993.64/413,165.34 = 169,040.88/x
  3. Step 3: Cross multiply
    275,993.64x = 413,165.34 × 169,040.88
  4. Step 4: Simplify right side
    275,993.64x = 69,841,832,659.10
  5. Step 5: Solve for x
    x = 69,841,832,659.10/275,993.64
  6. Step 6: Final answer
    x = 253,055.95

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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.