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Finding the Fourth Proportional to 512,601.43, 768,923.51 and 175,873.70

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Solution

The fourth proportional to 512,601.43, 768,923.51 and 175,873.70 is: 263,817.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,601.43 : 768,923.51 = 175,873.70 : x
  2. Step 2: Convert to fraction form
    512,601.43/768,923.51 = 175,873.70/x
  3. Step 3: Cross multiply
    512,601.43x = 768,923.51 × 175,873.70
  4. Step 4: Simplify right side
    512,601.43x = 135,233,417,996.70
  5. Step 5: Solve for x
    x = 135,233,417,996.70/512,601.43
  6. Step 6: Final answer
    x = 263,817.87

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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.