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Finding the Fourth Proportional to 632,586.96, 948,661.74 and 206,012.61

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Solution

The fourth proportional to 632,586.96, 948,661.74 and 206,012.61 is: 308,947.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,586.96 : 948,661.74 = 206,012.61 : x
  2. Step 2: Convert to fraction form
    632,586.96/948,661.74 = 206,012.61/x
  3. Step 3: Cross multiply
    632,586.96x = 948,661.74 × 206,012.61
  4. Step 4: Simplify right side
    632,586.96x = 195,436,281,064.54
  5. Step 5: Solve for x
    x = 195,436,281,064.54/632,586.96
  6. Step 6: Final answer
    x = 308,947.69

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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.