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Finding the Fourth Proportional to 422,306.42, 582,620.70 and 241,028.42

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Solution

The fourth proportional to 422,306.42, 582,620.70 and 241,028.42 is: 332,526.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,306.42 : 582,620.70 = 241,028.42 : x
  2. Step 2: Convert to fraction form
    422,306.42/582,620.70 = 241,028.42/x
  3. Step 3: Cross multiply
    422,306.42x = 582,620.70 × 241,028.42
  4. Step 4: Simplify right side
    422,306.42x = 140,428,146,780.29
  5. Step 5: Solve for x
    x = 140,428,146,780.29/422,306.42
  6. Step 6: Final answer
    x = 332,526.67

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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.