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Finding the Fourth Proportional to 412,029.56, 618,221.93 and 222,452.28

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Solution

The fourth proportional to 412,029.56, 618,221.93 and 222,452.28 is: 333,774.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,029.56 : 618,221.93 = 222,452.28 : x
  2. Step 2: Convert to fraction form
    412,029.56/618,221.93 = 222,452.28/x
  3. Step 3: Cross multiply
    412,029.56x = 618,221.93 × 222,452.28
  4. Step 4: Simplify right side
    412,029.56x = 137,524,876,762.24
  5. Step 5: Solve for x
    x = 137,524,876,762.24/412,029.56
  6. Step 6: Final answer
    x = 333,774.30

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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.