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Finding the Fourth Proportional to 489,530.40, 733,906.80 and 267,914.40

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Solution

The fourth proportional to 489,530.40, 733,906.80 and 267,914.40 is: 401,658.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,530.40 : 733,906.80 = 267,914.40 : x
  2. Step 2: Convert to fraction form
    489,530.40/733,906.80 = 267,914.40/x
  3. Step 3: Cross multiply
    489,530.40x = 733,906.80 × 267,914.40
  4. Step 4: Simplify right side
    489,530.40x = 196,624,199,977.92
  5. Step 5: Solve for x
    x = 196,624,199,977.92/489,530.40
  6. Step 6: Final answer
    x = 401,658.81

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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.