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Finding the Fourth Proportional to 297,506.55, 446,251.07 and 84,274.05

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Solution

The fourth proportional to 297,506.55, 446,251.07 and 84,274.05 is: 126,408.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,506.55 : 446,251.07 = 84,274.05 : x
  2. Step 2: Convert to fraction form
    297,506.55/446,251.07 = 84,274.05/x
  3. Step 3: Cross multiply
    297,506.55x = 446,251.07 × 84,274.05
  4. Step 4: Simplify right side
    297,506.55x = 37,607,383,104.62
  5. Step 5: Solve for x
    x = 37,607,383,104.62/297,506.55
  6. Step 6: Final answer
    x = 126,408.59

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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.