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Finding the Fourth Proportional to 298,046.90, 447,180.67 and 108,522.26

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Solution

The fourth proportional to 298,046.90, 447,180.67 and 108,522.26 is: 162,823.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,046.90 : 447,180.67 = 108,522.26 : x
  2. Step 2: Convert to fraction form
    298,046.90/447,180.67 = 108,522.26/x
  3. Step 3: Cross multiply
    298,046.90x = 447,180.67 × 108,522.26
  4. Step 4: Simplify right side
    298,046.90x = 48,529,056,936.71
  5. Step 5: Solve for x
    x = 48,529,056,936.71/298,046.90
  6. Step 6: Final answer
    x = 162,823.56

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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.