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Finding the Fourth Proportional to 422,401.72, 582,840.34 and 241,030.84

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Solution

The fourth proportional to 422,401.72, 582,840.34 and 241,030.84 is: 332,580.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,401.72 : 582,840.34 = 241,030.84 : x
  2. Step 2: Convert to fraction form
    422,401.72/582,840.34 = 241,030.84/x
  3. Step 3: Cross multiply
    422,401.72x = 582,840.34 × 241,030.84
  4. Step 4: Simplify right side
    422,401.72x = 140,482,496,736.09
  5. Step 5: Solve for x
    x = 140,482,496,736.09/422,401.72
  6. Step 6: Final answer
    x = 332,580.31

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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.