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Finding the Fourth Proportional to 513,194.88, 769,711.44 and 171,635.70

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Solution

The fourth proportional to 513,194.88, 769,711.44 and 171,635.70 is: 257,426.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,194.88 : 769,711.44 = 171,635.70 : x
  2. Step 2: Convert to fraction form
    513,194.88/769,711.44 = 171,635.70/x
  3. Step 3: Cross multiply
    513,194.88x = 769,711.44 × 171,635.70
  4. Step 4: Simplify right side
    513,194.88x = 132,109,961,802.41
  5. Step 5: Solve for x
    x = 132,109,961,802.41/513,194.88
  6. Step 6: Final answer
    x = 257,426.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.