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Finding the Fourth Proportional to 362,176.20, 542,826.90 and 184,591.80

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Solution

The fourth proportional to 362,176.20, 542,826.90 and 184,591.80 is: 276,664.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,176.20 : 542,826.90 = 184,591.80 : x
  2. Step 2: Convert to fraction form
    362,176.20/542,826.90 = 184,591.80/x
  3. Step 3: Cross multiply
    362,176.20x = 542,826.90 × 184,591.80
  4. Step 4: Simplify right side
    362,176.20x = 100,201,394,559.42
  5. Step 5: Solve for x
    x = 100,201,394,559.42/362,176.20
  6. Step 6: Final answer
    x = 276,664.77

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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.