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Finding the Fourth Proportional to 466,311.70, 699,524.79 and 166,823.92

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Solution

The fourth proportional to 466,311.70, 699,524.79 and 166,823.92 is: 250,256.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,311.70 : 699,524.79 = 166,823.92 : x
  2. Step 2: Convert to fraction form
    466,311.70/699,524.79 = 166,823.92/x
  3. Step 3: Cross multiply
    466,311.70x = 699,524.79 × 166,823.92
  4. Step 4: Simplify right side
    466,311.70x = 116,697,467,604.98
  5. Step 5: Solve for x
    x = 116,697,467,604.98/466,311.70
  6. Step 6: Final answer
    x = 250,256.36

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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.