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Finding the Fourth Proportional to 297,769.72, 446,391.96 and 110,650

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Solution

The fourth proportional to 297,769.72, 446,391.96 and 110,650 is: 165,877.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,769.72 : 446,391.96 = 110,650 : x
  2. Step 2: Convert to fraction form
    297,769.72/446,391.96 = 110,650/x
  3. Step 3: Cross multiply
    297,769.72x = 446,391.96 × 110,650
  4. Step 4: Simplify right side
    297,769.72x = 49,393,270,374
  5. Step 5: Solve for x
    x = 49,393,270,374/297,769.72
  6. Step 6: Final answer
    x = 165,877.41

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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.