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Finding the Fourth Proportional to 538,995.36, 808,493.68 and 165,016.48

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Solution

The fourth proportional to 538,995.36, 808,493.68 and 165,016.48 is: 247,524.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,995.36 : 808,493.68 = 165,016.48 : x
  2. Step 2: Convert to fraction form
    538,995.36/808,493.68 = 165,016.48/x
  3. Step 3: Cross multiply
    538,995.36x = 808,493.68 × 165,016.48
  4. Step 4: Simplify right side
    538,995.36x = 133,414,781,175.85
  5. Step 5: Solve for x
    x = 133,414,781,175.85/538,995.36
  6. Step 6: Final answer
    x = 247,524.92

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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.