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Finding the Fourth Proportional to 419,504.21, 578,912.85 and 228,517.61

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Solution

The fourth proportional to 419,504.21, 578,912.85 and 228,517.61 is: 315,352.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,504.21 : 578,912.85 = 228,517.61 : x
  2. Step 2: Convert to fraction form
    419,504.21/578,912.85 = 228,517.61/x
  3. Step 3: Cross multiply
    419,504.21x = 578,912.85 × 228,517.61
  4. Step 4: Simplify right side
    419,504.21x = 132,291,777,985.72
  5. Step 5: Solve for x
    x = 132,291,777,985.72/419,504.21
  6. Step 6: Final answer
    x = 315,352.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.