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Finding the Fourth Proportional to 409,581.78, 614,372.13 and 110,062.36

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Solution

The fourth proportional to 409,581.78, 614,372.13 and 110,062.36 is: 165,093.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,581.78 : 614,372.13 = 110,062.36 : x
  2. Step 2: Convert to fraction form
    409,581.78/614,372.13 = 110,062.36/x
  3. Step 3: Cross multiply
    409,581.78x = 614,372.13 × 110,062.36
  4. Step 4: Simplify right side
    409,581.78x = 67,619,246,546.03
  5. Step 5: Solve for x
    x = 67,619,246,546.03/409,581.78
  6. Step 6: Final answer
    x = 165,093.39

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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.