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Finding the Fourth Proportional to 339,414.40, 509,121.60 and 331,638.40

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Solution

The fourth proportional to 339,414.40, 509,121.60 and 331,638.40 is: 497,457.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,414.40 : 509,121.60 = 331,638.40 : x
  2. Step 2: Convert to fraction form
    339,414.40/509,121.60 = 331,638.40/x
  3. Step 3: Cross multiply
    339,414.40x = 509,121.60 × 331,638.40
  4. Step 4: Simplify right side
    339,414.40x = 168,844,272,829.44
  5. Step 5: Solve for x
    x = 168,844,272,829.44/339,414.40
  6. Step 6: Final answer
    x = 497,457.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.