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Finding the Fourth Proportional to 335,107.92, 501,765.30 and 281,964

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Solution

The fourth proportional to 335,107.92, 501,765.30 and 281,964 is: 422,191.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,107.92 : 501,765.30 = 281,964 : x
  2. Step 2: Convert to fraction form
    335,107.92/501,765.30 = 281,964/x
  3. Step 3: Cross multiply
    335,107.92x = 501,765.30 × 281,964
  4. Step 4: Simplify right side
    335,107.92x = 141,479,751,049.20
  5. Step 5: Solve for x
    x = 141,479,751,049.20/335,107.92
  6. Step 6: Final answer
    x = 422,191.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.