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Finding the Fourth Proportional to 386,996.20, 580,270.82 and 150,062.08

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Solution

The fourth proportional to 386,996.20, 580,270.82 and 150,062.08 is: 225,006.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,996.20 : 580,270.82 = 150,062.08 : x
  2. Step 2: Convert to fraction form
    386,996.20/580,270.82 = 150,062.08/x
  3. Step 3: Cross multiply
    386,996.20x = 580,270.82 × 150,062.08
  4. Step 4: Simplify right side
    386,996.20x = 87,076,646,212.51
  5. Step 5: Solve for x
    x = 87,076,646,212.51/386,996.20
  6. Step 6: Final answer
    x = 225,006.46

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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.