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Finding the Fourth Proportional to 322,023.80, 482,622.60 and 179,868.80

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Solution

The fourth proportional to 322,023.80, 482,622.60 and 179,868.80 is: 269,572.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,023.80 : 482,622.60 = 179,868.80 : x
  2. Step 2: Convert to fraction form
    322,023.80/482,622.60 = 179,868.80/x
  3. Step 3: Cross multiply
    322,023.80x = 482,622.60 × 179,868.80
  4. Step 4: Simplify right side
    322,023.80x = 86,808,747,914.88
  5. Step 5: Solve for x
    x = 86,808,747,914.88/322,023.80
  6. Step 6: Final answer
    x = 269,572.46

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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.