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Finding the Fourth Proportional to 297,609.64, 446,414.46 and 131,364.52

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Solution

The fourth proportional to 297,609.64, 446,414.46 and 131,364.52 is: 197,046.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,609.64 : 446,414.46 = 131,364.52 : x
  2. Step 2: Convert to fraction form
    297,609.64/446,414.46 = 131,364.52/x
  3. Step 3: Cross multiply
    297,609.64x = 446,414.46 × 131,364.52
  4. Step 4: Simplify right side
    297,609.64x = 58,643,021,258.96
  5. Step 5: Solve for x
    x = 58,643,021,258.96/297,609.64
  6. Step 6: Final answer
    x = 197,046.78

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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.