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Finding the Fourth Proportional to 394,224.10, 591,012.15 and 169,756.90

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Solution

The fourth proportional to 394,224.10, 591,012.15 and 169,756.90 is: 254,495.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,224.10 : 591,012.15 = 169,756.90 : x
  2. Step 2: Convert to fraction form
    394,224.10/591,012.15 = 169,756.90/x
  3. Step 3: Cross multiply
    394,224.10x = 591,012.15 × 169,756.90
  4. Step 4: Simplify right side
    394,224.10x = 100,328,390,446.34
  5. Step 5: Solve for x
    x = 100,328,390,446.34/394,224.10
  6. Step 6: Final answer
    x = 254,495.83

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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.