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Finding the Fourth Proportional to 362,167.20, 542,813.40 and 184,582.80

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Solution

The fourth proportional to 362,167.20, 542,813.40 and 184,582.80 is: 276,651.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,167.20 : 542,813.40 = 184,582.80 : x
  2. Step 2: Convert to fraction form
    362,167.20/542,813.40 = 184,582.80/x
  3. Step 3: Cross multiply
    362,167.20x = 542,813.40 × 184,582.80
  4. Step 4: Simplify right side
    362,167.20x = 100,194,017,249.52
  5. Step 5: Solve for x
    x = 100,194,017,249.52/362,167.20
  6. Step 6: Final answer
    x = 276,651.27

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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.