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Finding the Fourth Proportional to 387,022.50, 580,570.44 and 150,383.46

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Solution

The fourth proportional to 387,022.50, 580,570.44 and 150,383.46 is: 225,589.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,022.50 : 580,570.44 = 150,383.46 : x
  2. Step 2: Convert to fraction form
    387,022.50/580,570.44 = 150,383.46/x
  3. Step 3: Cross multiply
    387,022.50x = 580,570.44 × 150,383.46
  4. Step 4: Simplify right side
    387,022.50x = 87,308,191,540.92
  5. Step 5: Solve for x
    x = 87,308,191,540.92/387,022.50
  6. Step 6: Final answer
    x = 225,589.45

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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.