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Finding the Fourth Proportional to 271,605.90, 407,408.85 and 201,621.90

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Solution

The fourth proportional to 271,605.90, 407,408.85 and 201,621.90 is: 302,432.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,605.90 : 407,408.85 = 201,621.90 : x
  2. Step 2: Convert to fraction form
    271,605.90/407,408.85 = 201,621.90/x
  3. Step 3: Cross multiply
    271,605.90x = 407,408.85 × 201,621.90
  4. Step 4: Simplify right side
    271,605.90x = 82,142,546,413.82
  5. Step 5: Solve for x
    x = 82,142,546,413.82/271,605.90
  6. Step 6: Final answer
    x = 302,432.85

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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.