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Finding the Fourth Proportional to 386,906.41, 580,495.02 and 150,415.03

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Solution

The fourth proportional to 386,906.41, 580,495.02 and 150,415.03 is: 225,675.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,906.41 : 580,495.02 = 150,415.03 : x
  2. Step 2: Convert to fraction form
    386,906.41/580,495.02 = 150,415.03/x
  3. Step 3: Cross multiply
    386,906.41x = 580,495.02 × 150,415.03
  4. Step 4: Simplify right side
    386,906.41x = 87,315,175,848.15
  5. Step 5: Solve for x
    x = 87,315,175,848.15/386,906.41
  6. Step 6: Final answer
    x = 225,675.19

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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.