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Finding the Fourth Proportional to 322,646.96, 483,822.36 and 189,589.76

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Solution

The fourth proportional to 322,646.96, 483,822.36 and 189,589.76 is: 284,297.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,646.96 : 483,822.36 = 189,589.76 : x
  2. Step 2: Convert to fraction form
    322,646.96/483,822.36 = 189,589.76/x
  3. Step 3: Cross multiply
    322,646.96x = 483,822.36 × 189,589.76
  4. Step 4: Simplify right side
    322,646.96x = 91,727,765,115.03
  5. Step 5: Solve for x
    x = 91,727,765,115.03/322,646.96
  6. Step 6: Final answer
    x = 284,297.63

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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.