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Finding the Fourth Proportional to 297,771.72, 446,394.96 and 110,652

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Solution

The fourth proportional to 297,771.72, 446,394.96 and 110,652 is: 165,880.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,771.72 : 446,394.96 = 110,652 : x
  2. Step 2: Convert to fraction form
    297,771.72/446,394.96 = 110,652/x
  3. Step 3: Cross multiply
    297,771.72x = 446,394.96 × 110,652
  4. Step 4: Simplify right side
    297,771.72x = 49,394,495,113.92
  5. Step 5: Solve for x
    x = 49,394,495,113.92/297,771.72
  6. Step 6: Final answer
    x = 165,880.41

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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.