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Finding the Fourth Proportional to 297,476.56, 446,392.14 and 107,951.73

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Solution

The fourth proportional to 297,476.56, 446,392.14 and 107,951.73 is: 161,991.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,476.56 : 446,392.14 = 107,951.73 : x
  2. Step 2: Convert to fraction form
    297,476.56/446,392.14 = 107,951.73/x
  3. Step 3: Cross multiply
    297,476.56x = 446,392.14 × 107,951.73
  4. Step 4: Simplify right side
    297,476.56x = 48,188,803,771.40
  5. Step 5: Solve for x
    x = 48,188,803,771.40/297,476.56
  6. Step 6: Final answer
    x = 161,991.94

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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.