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Finding the Fourth Proportional to 394,127.76, 591,224.22 and 169,493.52

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Solution

The fourth proportional to 394,127.76, 591,224.22 and 169,493.52 is: 254,254.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,127.76 : 591,224.22 = 169,493.52 : x
  2. Step 2: Convert to fraction form
    394,127.76/591,224.22 = 169,493.52/x
  3. Step 3: Cross multiply
    394,127.76x = 591,224.22 × 169,493.52
  4. Step 4: Simplify right side
    394,127.76x = 100,208,674,157.05
  5. Step 5: Solve for x
    x = 100,208,674,157.05/394,127.76
  6. Step 6: Final answer
    x = 254,254.29

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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.