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Finding the Fourth Proportional to 297,475.56, 446,390.64 and 107,950.73

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Solution

The fourth proportional to 297,475.56, 446,390.64 and 107,950.73 is: 161,990.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,475.56 : 446,390.64 = 107,950.73 : x
  2. Step 2: Convert to fraction form
    297,475.56/446,390.64 = 107,950.73/x
  3. Step 3: Cross multiply
    297,475.56x = 446,390.64 × 107,950.73
  4. Step 4: Simplify right side
    297,475.56x = 48,188,193,221.21
  5. Step 5: Solve for x
    x = 48,188,193,221.21/297,475.56
  6. Step 6: Final answer
    x = 161,990.43

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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.