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Finding the Fourth Proportional to 509,997.96, 764,297.10 and 322,674.12

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Solution

The fourth proportional to 509,997.96, 764,297.10 and 322,674.12 is: 483,568.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,997.96 : 764,297.10 = 322,674.12 : x
  2. Step 2: Convert to fraction form
    509,997.96/764,297.10 = 322,674.12/x
  3. Step 3: Cross multiply
    509,997.96x = 764,297.10 × 322,674.12
  4. Step 4: Simplify right side
    509,997.96x = 246,618,894,161.05
  5. Step 5: Solve for x
    x = 246,618,894,161.05/509,997.96
  6. Step 6: Final answer
    x = 483,568.39

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1.5x scale

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.