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Finding the Fourth Proportional to 489,596.40, 733,811.40 and 205,286.40

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Solution

The fourth proportional to 489,596.40, 733,811.40 and 205,286.40 is: 307,685.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,596.40 : 733,811.40 = 205,286.40 : x
  2. Step 2: Convert to fraction form
    489,596.40/733,811.40 = 205,286.40/x
  3. Step 3: Cross multiply
    489,596.40x = 733,811.40 × 205,286.40
  4. Step 4: Simplify right side
    489,596.40x = 150,641,500,584.96
  5. Step 5: Solve for x
    x = 150,641,500,584.96/489,596.40
  6. Step 6: Final answer
    x = 307,685.07

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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.