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Finding the Fourth Proportional to 387,049.53, 580,610.94 and 150,410.46

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Solution

The fourth proportional to 387,049.53, 580,610.94 and 150,410.46 is: 225,629.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,049.53 : 580,610.94 = 150,410.46 : x
  2. Step 2: Convert to fraction form
    387,049.53/580,610.94 = 150,410.46/x
  3. Step 3: Cross multiply
    387,049.53x = 580,610.94 × 150,410.46
  4. Step 4: Simplify right side
    387,049.53x = 87,329,958,566.43
  5. Step 5: Solve for x
    x = 87,329,958,566.43/387,049.53
  6. Step 6: Final answer
    x = 225,629.93

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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.