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Finding the Fourth Proportional to 442,907.40, 664,361.10 and 411,414.60

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Solution

The fourth proportional to 442,907.40, 664,361.10 and 411,414.60 is: 617,121.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,907.40 : 664,361.10 = 411,414.60 : x
  2. Step 2: Convert to fraction form
    442,907.40/664,361.10 = 411,414.60/x
  3. Step 3: Cross multiply
    442,907.40x = 664,361.10 × 411,414.60
  4. Step 4: Simplify right side
    442,907.40x = 273,327,856,212.06
  5. Step 5: Solve for x
    x = 273,327,856,212.06/442,907.40
  6. Step 6: Final answer
    x = 617,121.90

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Why These Related Problems?

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