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Finding the Fourth Proportional to 576,049.12, 864,213.91 and 191,796.96

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Solution

The fourth proportional to 576,049.12, 864,213.91 and 191,796.96 is: 287,742.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,049.12 : 864,213.91 = 191,796.96 : x
  2. Step 2: Convert to fraction form
    576,049.12/864,213.91 = 191,796.96/x
  3. Step 3: Cross multiply
    576,049.12x = 864,213.91 × 191,796.96
  4. Step 4: Simplify right side
    576,049.12x = 165,753,603,489.02
  5. Step 5: Solve for x
    x = 165,753,603,489.02/576,049.12
  6. Step 6: Final answer
    x = 287,742.14

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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.