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Finding the Fourth Proportional to 387,052.53, 580,615.44 and 150,413.46

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Solution

The fourth proportional to 387,052.53, 580,615.44 and 150,413.46 is: 225,634.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,052.53 : 580,615.44 = 150,413.46 : x
  2. Step 2: Convert to fraction form
    387,052.53/580,615.44 = 150,413.46/x
  3. Step 3: Cross multiply
    387,052.53x = 580,615.44 × 150,413.46
  4. Step 4: Simplify right side
    387,052.53x = 87,332,377,259.82
  5. Step 5: Solve for x
    x = 87,332,377,259.82/387,052.53
  6. Step 6: Final answer
    x = 225,634.43

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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.