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Finding the Fourth Proportional to 386,993.21, 580,266.32 and 150,059.09

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Solution

The fourth proportional to 386,993.21, 580,266.32 and 150,059.09 is: 225,001.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,993.21 : 580,266.32 = 150,059.09 : x
  2. Step 2: Convert to fraction form
    386,993.21/580,266.32 = 150,059.09/x
  3. Step 3: Cross multiply
    386,993.21x = 580,266.32 × 150,059.09
  4. Step 4: Simplify right side
    386,993.21x = 87,074,232,285.22
  5. Step 5: Solve for x
    x = 87,074,232,285.22/386,993.21
  6. Step 6: Final answer
    x = 225,001.97

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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.