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Finding the Fourth Proportional to 322,596.54, 483,863.52 and 97,958.92

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Solution

The fourth proportional to 322,596.54, 483,863.52 and 97,958.92 is: 146,928.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,596.54 : 483,863.52 = 97,958.92 : x
  2. Step 2: Convert to fraction form
    322,596.54/483,863.52 = 97,958.92/x
  3. Step 3: Cross multiply
    322,596.54x = 483,863.52 × 97,958.92
  4. Step 4: Simplify right side
    322,596.54x = 47,398,747,911.53
  5. Step 5: Solve for x
    x = 47,398,747,911.53/322,596.54
  6. Step 6: Final answer
    x = 146,928.88

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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.