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Finding the Fourth Proportional to 297,414.34, 446,138.66 and 84,164.42

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Solution

The fourth proportional to 297,414.34, 446,138.66 and 84,164.42 is: 126,251.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,414.34 : 446,138.66 = 84,164.42 : x
  2. Step 2: Convert to fraction form
    297,414.34/446,138.66 = 84,164.42/x
  3. Step 3: Cross multiply
    297,414.34x = 446,138.66 × 84,164.42
  4. Step 4: Simplify right side
    297,414.34x = 37,549,000,137.99
  5. Step 5: Solve for x
    x = 37,549,000,137.99/297,414.34
  6. Step 6: Final answer
    x = 126,251.48

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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.