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Finding the Fourth Proportional to 422,231.88, 582,334.74 and 301,159.56

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Solution

The fourth proportional to 422,231.88, 582,334.74 and 301,159.56 is: 415,353.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,231.88 : 582,334.74 = 301,159.56 : x
  2. Step 2: Convert to fraction form
    422,231.88/582,334.74 = 301,159.56/x
  3. Step 3: Cross multiply
    422,231.88x = 582,334.74 × 301,159.56
  4. Step 4: Simplify right side
    422,231.88x = 175,375,674,071.11
  5. Step 5: Solve for x
    x = 175,375,674,071.11/422,231.88
  6. Step 6: Final answer
    x = 415,353.94

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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.