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Finding the Fourth Proportional to 362,169.20, 542,816.40 and 184,584.80

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Solution

The fourth proportional to 362,169.20, 542,816.40 and 184,584.80 is: 276,654.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,169.20 : 542,816.40 = 184,584.80 : x
  2. Step 2: Convert to fraction form
    362,169.20/542,816.40 = 184,584.80/x
  3. Step 3: Cross multiply
    362,169.20x = 542,816.40 × 184,584.80
  4. Step 4: Simplify right side
    362,169.20x = 100,195,656,630.72
  5. Step 5: Solve for x
    x = 100,195,656,630.72/362,169.20
  6. Step 6: Final answer
    x = 276,654.27

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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.