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Finding the Fourth Proportional to 322,472.80, 483,709.20 and 322,472.80

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Solution

The fourth proportional to 322,472.80, 483,709.20 and 322,472.80 is: 483,709.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,472.80 : 483,709.20 = 322,472.80 : x
  2. Step 2: Convert to fraction form
    322,472.80/483,709.20 = 322,472.80/x
  3. Step 3: Cross multiply
    322,472.80x = 483,709.20 × 322,472.80
  4. Step 4: Simplify right side
    322,472.80x = 155,983,060,109.76
  5. Step 5: Solve for x
    x = 155,983,060,109.76/322,472.80
  6. Step 6: Final answer
    x = 483,709.20

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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.