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Finding the Fourth Proportional to 322,483.20, 483,724.80 and 293,452.80

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Solution

The fourth proportional to 322,483.20, 483,724.80 and 293,452.80 is: 440,179.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,483.20 : 483,724.80 = 293,452.80 : x
  2. Step 2: Convert to fraction form
    322,483.20/483,724.80 = 293,452.80/x
  3. Step 3: Cross multiply
    322,483.20x = 483,724.80 × 293,452.80
  4. Step 4: Simplify right side
    322,483.20x = 141,950,396,989.44
  5. Step 5: Solve for x
    x = 141,950,396,989.44/322,483.20
  6. Step 6: Final answer
    x = 440,179.20

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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.