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Finding the Fourth Proportional to 864,992, 1,193,684.22 and 477,834.08

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Solution

The fourth proportional to 864,992, 1,193,684.22 and 477,834.08 is: 659,408.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    864,992 : 1,193,684.22 = 477,834.08 : x
  2. Step 2: Convert to fraction form
    864,992/1,193,684.22 = 477,834.08/x
  3. Step 3: Cross multiply
    864,992x = 1,193,684.22 × 477,834.08
  4. Step 4: Simplify right side
    864,992x = 570,383,001,074.22
  5. Step 5: Solve for x
    x = 570,383,001,074.22/864,992
  6. Step 6: Final answer
    x = 659,408.41

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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.