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Finding the Fourth Proportional to 322,478.70, 483,593.58 and 106,285.52

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Solution

The fourth proportional to 322,478.70, 483,593.58 and 106,285.52 is: 159,387.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,478.70 : 483,593.58 = 106,285.52 : x
  2. Step 2: Convert to fraction form
    322,478.70/483,593.58 = 106,285.52/x
  3. Step 3: Cross multiply
    322,478.70x = 483,593.58 × 106,285.52
  4. Step 4: Simplify right side
    322,478.70x = 51,398,992,700.99
  5. Step 5: Solve for x
    x = 51,398,992,700.99/322,478.70
  6. Step 6: Final answer
    x = 159,387.25

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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.