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Finding the Fourth Proportional to 297,524.54, 446,286.81 and 87,162.48

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Solution

The fourth proportional to 297,524.54, 446,286.81 and 87,162.48 is: 130,743.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,524.54 : 446,286.81 = 87,162.48 : x
  2. Step 2: Convert to fraction form
    297,524.54/446,286.81 = 87,162.48/x
  3. Step 3: Cross multiply
    297,524.54x = 446,286.81 × 87,162.48
  4. Step 4: Simplify right side
    297,524.54x = 38,899,465,477.75
  5. Step 5: Solve for x
    x = 38,899,465,477.75/297,524.54
  6. Step 6: Final answer
    x = 130,743.72

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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.