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Finding the Fourth Proportional to 644,834.40, 967,251.60 and 409,221.60

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Solution

The fourth proportional to 644,834.40, 967,251.60 and 409,221.60 is: 613,832.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,834.40 : 967,251.60 = 409,221.60 : x
  2. Step 2: Convert to fraction form
    644,834.40/967,251.60 = 409,221.60/x
  3. Step 3: Cross multiply
    644,834.40x = 967,251.60 × 409,221.60
  4. Step 4: Simplify right side
    644,834.40x = 395,820,247,354.56
  5. Step 5: Solve for x
    x = 395,820,247,354.56/644,834.40
  6. Step 6: Final answer
    x = 613,832.40

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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.