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Finding the Fourth Proportional to 422,442.56, 582,775.30 and 374,093.76

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Solution

The fourth proportional to 422,442.56, 582,775.30 and 374,093.76 is: 516,076.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,442.56 : 582,775.30 = 374,093.76 : x
  2. Step 2: Convert to fraction form
    422,442.56/582,775.30 = 374,093.76/x
  3. Step 3: Cross multiply
    422,442.56x = 582,775.30 × 374,093.76
  4. Step 4: Simplify right side
    422,442.56x = 218,012,603,212.13
  5. Step 5: Solve for x
    x = 218,012,603,212.13/422,442.56
  6. Step 6: Final answer
    x = 516,076.32

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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.