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Finding the Fourth Proportional to 412,175.20, 618,262.80 and 202,223.20

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Solution

The fourth proportional to 412,175.20, 618,262.80 and 202,223.20 is: 303,334.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,175.20 : 618,262.80 = 202,223.20 : x
  2. Step 2: Convert to fraction form
    412,175.20/618,262.80 = 202,223.20/x
  3. Step 3: Cross multiply
    412,175.20x = 618,262.80 × 202,223.20
  4. Step 4: Simplify right side
    412,175.20x = 125,027,081,856.96
  5. Step 5: Solve for x
    x = 125,027,081,856.96/412,175.20
  6. Step 6: Final answer
    x = 303,334.80

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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.