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Finding the Fourth Proportional to 322,472.20, 483,709.48 and 97,834.56

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Solution

The fourth proportional to 322,472.20, 483,709.48 and 97,834.56 is: 146,752.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,472.20 : 483,709.48 = 97,834.56 : x
  2. Step 2: Convert to fraction form
    322,472.20/483,709.48 = 97,834.56/x
  3. Step 3: Cross multiply
    322,472.20x = 483,709.48 × 97,834.56
  4. Step 4: Simplify right side
    322,472.20x = 47,323,504,143.63
  5. Step 5: Solve for x
    x = 47,323,504,143.63/322,472.20
  6. Step 6: Final answer
    x = 146,752.20

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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.