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Finding the Fourth Proportional to 273,005.30, 408,523.80 and 184,431.80

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Solution

The fourth proportional to 273,005.30, 408,523.80 and 184,431.80 is: 275,982.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,005.30 : 408,523.80 = 184,431.80 : x
  2. Step 2: Convert to fraction form
    273,005.30/408,523.80 = 184,431.80/x
  3. Step 3: Cross multiply
    273,005.30x = 408,523.80 × 184,431.80
  4. Step 4: Simplify right side
    273,005.30x = 75,344,779,776.84
  5. Step 5: Solve for x
    x = 75,344,779,776.84/273,005.30
  6. Step 6: Final answer
    x = 275,982.85

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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.