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Finding the Fourth Proportional to 299,431.75, 413,222.07 and 163,471.43

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Solution

The fourth proportional to 299,431.75, 413,222.07 and 163,471.43 is: 225,593.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,431.75 : 413,222.07 = 163,471.43 : x
  2. Step 2: Convert to fraction form
    299,431.75/413,222.07 = 163,471.43/x
  3. Step 3: Cross multiply
    299,431.75x = 413,222.07 × 163,471.43
  4. Step 4: Simplify right side
    299,431.75x = 67,550,001,903.61
  5. Step 5: Solve for x
    x = 67,550,001,903.61/299,431.75
  6. Step 6: Final answer
    x = 225,593.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.