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Finding the Fourth Proportional to 422,232.88, 582,336.12 and 301,160.56

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Solution

The fourth proportional to 422,232.88, 582,336.12 and 301,160.56 is: 415,355.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,232.88 : 582,336.12 = 301,160.56 : x
  2. Step 2: Convert to fraction form
    422,232.88/582,336.12 = 301,160.56/x
  3. Step 3: Cross multiply
    422,232.88x = 582,336.12 × 301,160.56
  4. Step 4: Simplify right side
    422,232.88x = 175,376,672,007.43
  5. Step 5: Solve for x
    x = 175,376,672,007.43/422,232.88
  6. Step 6: Final answer
    x = 415,355.32

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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.