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Finding the Fourth Proportional to 334,270.56, 461,379.60 and 206,873.76

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Solution

The fourth proportional to 334,270.56, 461,379.60 and 206,873.76 is: 285,539.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,270.56 : 461,379.60 = 206,873.76 : x
  2. Step 2: Convert to fraction form
    334,270.56/461,379.60 = 206,873.76/x
  3. Step 3: Cross multiply
    334,270.56x = 461,379.60 × 206,873.76
  4. Step 4: Simplify right side
    334,270.56x = 95,447,332,639.30
  5. Step 5: Solve for x
    x = 95,447,332,639.30/334,270.56
  6. Step 6: Final answer
    x = 285,539.15

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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.