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Finding the Fourth Proportional to 422,406.42, 582,936.93 and 241,147.86

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Solution

The fourth proportional to 422,406.42, 582,936.93 and 241,147.86 is: 332,793.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,406.42 : 582,936.93 = 241,147.86 : x
  2. Step 2: Convert to fraction form
    422,406.42/582,936.93 = 241,147.86/x
  3. Step 3: Cross multiply
    422,406.42x = 582,936.93 × 241,147.86
  4. Step 4: Simplify right side
    422,406.42x = 140,573,993,184.47
  5. Step 5: Solve for x
    x = 140,573,993,184.47/422,406.42
  6. Step 6: Final answer
    x = 332,793.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.