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Finding the Fourth Proportional to 419,913.12, 579,481.92 and 269,097.60

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Solution

The fourth proportional to 419,913.12, 579,481.92 and 269,097.60 is: 371,355.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,913.12 : 579,481.92 = 269,097.60 : x
  2. Step 2: Convert to fraction form
    419,913.12/579,481.92 = 269,097.60/x
  3. Step 3: Cross multiply
    419,913.12x = 579,481.92 × 269,097.60
  4. Step 4: Simplify right side
    419,913.12x = 155,937,193,915.39
  5. Step 5: Solve for x
    x = 155,937,193,915.39/419,913.12
  6. Step 6: Final answer
    x = 371,355.85

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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.