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Finding the Fourth Proportional to 297,796, 446,431.50 and 110,676.28

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Solution

The fourth proportional to 297,796, 446,431.50 and 110,676.28 is: 165,916.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,796 : 446,431.50 = 110,676.28 : x
  2. Step 2: Convert to fraction form
    297,796/446,431.50 = 110,676.28/x
  3. Step 3: Cross multiply
    297,796x = 446,431.50 × 110,676.28
  4. Step 4: Simplify right side
    297,796x = 49,409,377,694.82
  5. Step 5: Solve for x
    x = 49,409,377,694.82/297,796
  6. Step 6: Final answer
    x = 165,916.86

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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.