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Finding the Fourth Proportional to 513,917.53, 709,197.60 and 284,469.89

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Solution

The fourth proportional to 513,917.53, 709,197.60 and 284,469.89 is: 392,563.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,917.53 : 709,197.60 = 284,469.89 : x
  2. Step 2: Convert to fraction form
    513,917.53/709,197.60 = 284,469.89/x
  3. Step 3: Cross multiply
    513,917.53x = 709,197.60 × 284,469.89
  4. Step 4: Simplify right side
    513,917.53x = 201,745,361,487.27
  5. Step 5: Solve for x
    x = 201,745,361,487.27/513,917.53
  6. Step 6: Final answer
    x = 392,563.69

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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.