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Finding the Fourth Proportional to 654,408.84, 981,635.22 and 181,054.56

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Solution

The fourth proportional to 654,408.84, 981,635.22 and 181,054.56 is: 271,587.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,408.84 : 981,635.22 = 181,054.56 : x
  2. Step 2: Convert to fraction form
    654,408.84/981,635.22 = 181,054.56/x
  3. Step 3: Cross multiply
    654,408.84x = 981,635.22 × 181,054.56
  4. Step 4: Simplify right side
    654,408.84x = 177,729,532,837.60
  5. Step 5: Solve for x
    x = 177,729,532,837.60/654,408.84
  6. Step 6: Final answer
    x = 271,587.92

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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.