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Finding the Fourth Proportional to 362,209.20, 542,876.40 and 184,624.80

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Solution

The fourth proportional to 362,209.20, 542,876.40 and 184,624.80 is: 276,714.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,209.20 : 542,876.40 = 184,624.80 : x
  2. Step 2: Convert to fraction form
    362,209.20/542,876.40 = 184,624.80/x
  3. Step 3: Cross multiply
    362,209.20x = 542,876.40 × 184,624.80
  4. Step 4: Simplify right side
    362,209.20x = 100,228,446,774.72
  5. Step 5: Solve for x
    x = 100,228,446,774.72/362,209.20
  6. Step 6: Final answer
    x = 276,714.25

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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.