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Finding the Fourth Proportional to 513,194.37, 769,710.70 and 171,635.20

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Solution

The fourth proportional to 513,194.37, 769,710.70 and 171,635.20 is: 257,425.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,194.37 : 769,710.70 = 171,635.20 : x
  2. Step 2: Convert to fraction form
    513,194.37/769,710.70 = 171,635.20/x
  3. Step 3: Cross multiply
    513,194.37x = 769,710.70 × 171,635.20
  4. Step 4: Simplify right side
    513,194.37x = 132,109,449,936.64
  5. Step 5: Solve for x
    x = 132,109,449,936.64/513,194.37
  6. Step 6: Final answer
    x = 257,425.76

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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.