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Finding the Fourth Proportional to 821,676.77, 1,133,906.14 and 459,163.07

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Solution

The fourth proportional to 821,676.77, 1,133,906.14 and 459,163.07 is: 633,640.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,676.77 : 1,133,906.14 = 459,163.07 : x
  2. Step 2: Convert to fraction form
    821,676.77/1,133,906.14 = 459,163.07/x
  3. Step 3: Cross multiply
    821,676.77x = 1,133,906.14 × 459,163.07
  4. Step 4: Simplify right side
    821,676.77x = 520,647,824,334.25
  5. Step 5: Solve for x
    x = 520,647,824,334.25/821,676.77
  6. Step 6: Final answer
    x = 633,640.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.