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Finding the Fourth Proportional to 297,782, 446,676.24 and 76,166

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Solution

The fourth proportional to 297,782, 446,676.24 and 76,166 is: 114,249.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,782 : 446,676.24 = 76,166 : x
  2. Step 2: Convert to fraction form
    297,782/446,676.24 = 76,166/x
  3. Step 3: Cross multiply
    297,782x = 446,676.24 × 76,166
  4. Step 4: Simplify right side
    297,782x = 34,021,542,495.84
  5. Step 5: Solve for x
    x = 34,021,542,495.84/297,782
  6. Step 6: Final answer
    x = 114,249.83

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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.