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Finding the Fourth Proportional to 297,640.08, 410,747.74 and 161,676.68

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Solution

The fourth proportional to 297,640.08, 410,747.74 and 161,676.68 is: 223,116.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,640.08 : 410,747.74 = 161,676.68 : x
  2. Step 2: Convert to fraction form
    297,640.08/410,747.74 = 161,676.68/x
  3. Step 3: Cross multiply
    297,640.08x = 410,747.74 × 161,676.68
  4. Step 4: Simplify right side
    297,640.08x = 66,408,330,920.70
  5. Step 5: Solve for x
    x = 66,408,330,920.70/297,640.08
  6. Step 6: Final answer
    x = 223,116.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.