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Finding the Fourth Proportional to 523,746.41, 722,749.70 and 320,138.24

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Solution

The fourth proportional to 523,746.41, 722,749.70 and 320,138.24 is: 441,778.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,746.41 : 722,749.70 = 320,138.24 : x
  2. Step 2: Convert to fraction form
    523,746.41/722,749.70 = 320,138.24/x
  3. Step 3: Cross multiply
    523,746.41x = 722,749.70 × 320,138.24
  4. Step 4: Simplify right side
    523,746.41x = 231,379,811,704.09
  5. Step 5: Solve for x
    x = 231,379,811,704.09/523,746.41
  6. Step 6: Final answer
    x = 441,778.33

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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.