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Finding the Fourth Proportional to 538,512.56, 807,380.04 and 164,331.44

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Solution

The fourth proportional to 538,512.56, 807,380.04 and 164,331.44 is: 246,378.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,512.56 : 807,380.04 = 164,331.44 : x
  2. Step 2: Convert to fraction form
    538,512.56/807,380.04 = 164,331.44/x
  3. Step 3: Cross multiply
    538,512.56x = 807,380.04 × 164,331.44
  4. Step 4: Simplify right side
    538,512.56x = 132,677,924,600.46
  5. Step 5: Solve for x
    x = 132,677,924,600.46/538,512.56
  6. Step 6: Final answer
    x = 246,378.51

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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.