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Finding the Fourth Proportional to 322,408.80, 483,467.40 and 144,824.40

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Solution

The fourth proportional to 322,408.80, 483,467.40 and 144,824.40 is: 217,171.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,408.80 : 483,467.40 = 144,824.40 : x
  2. Step 2: Convert to fraction form
    322,408.80/483,467.40 = 144,824.40/x
  3. Step 3: Cross multiply
    322,408.80x = 483,467.40 × 144,824.40
  4. Step 4: Simplify right side
    322,408.80x = 70,017,876,124.56
  5. Step 5: Solve for x
    x = 70,017,876,124.56/322,408.80
  6. Step 6: Final answer
    x = 217,171.11

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1.5x scale

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.