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Finding the Fourth Proportional to 513,190, 769,593.51 and 176,134.99

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Solution

The fourth proportional to 513,190, 769,593.51 and 176,134.99 is: 264,136.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,190 : 769,593.51 = 176,134.99 : x
  2. Step 2: Convert to fraction form
    513,190/769,593.51 = 176,134.99/x
  3. Step 3: Cross multiply
    513,190x = 769,593.51 × 176,134.99
  4. Step 4: Simplify right side
    513,190x = 135,552,345,187.92
  5. Step 5: Solve for x
    x = 135,552,345,187.92/513,190
  6. Step 6: Final answer
    x = 264,136.76

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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.