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Finding the Fourth Proportional to 322,469.42, 483,762.30 and 132,826.28

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Solution

The fourth proportional to 322,469.42, 483,762.30 and 132,826.28 is: 199,263.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,469.42 : 483,762.30 = 132,826.28 : x
  2. Step 2: Convert to fraction form
    322,469.42/483,762.30 = 132,826.28/x
  3. Step 3: Cross multiply
    322,469.42x = 483,762.30 × 132,826.28
  4. Step 4: Simplify right side
    322,469.42x = 64,256,344,792.53
  5. Step 5: Solve for x
    x = 64,256,344,792.53/322,469.42
  6. Step 6: Final answer
    x = 199,263.38

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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.