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Finding the Fourth Proportional to 799,105, 1,198,832.64 and 300,469

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Solution

The fourth proportional to 799,105, 1,198,832.64 and 300,469 is: 450,769.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    799,105 : 1,198,832.64 = 300,469 : x
  2. Step 2: Convert to fraction form
    799,105/1,198,832.64 = 300,469/x
  3. Step 3: Cross multiply
    799,105x = 1,198,832.64 × 300,469
  4. Step 4: Simplify right side
    799,105x = 360,212,044,508.16
  5. Step 5: Solve for x
    x = 360,212,044,508.16/799,105
  6. Step 6: Final answer
    x = 450,769.35

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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.