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Finding the Fourth Proportional to 334,765.56, 461,974.38 and 200,629.56

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Solution

The fourth proportional to 334,765.56, 461,974.38 and 200,629.56 is: 276,867.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,765.56 : 461,974.38 = 200,629.56 : x
  2. Step 2: Convert to fraction form
    334,765.56/461,974.38 = 200,629.56/x
  3. Step 3: Cross multiply
    334,765.56x = 461,974.38 × 200,629.56
  4. Step 4: Simplify right side
    334,765.56x = 92,685,716,590.67
  5. Step 5: Solve for x
    x = 92,685,716,590.67/334,765.56
  6. Step 6: Final answer
    x = 276,867.54

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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.