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Finding the Fourth Proportional to 303,833.24, 419,254.13 and 167,859.08

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Solution

The fourth proportional to 303,833.24, 419,254.13 and 167,859.08 is: 231,625.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,833.24 : 419,254.13 = 167,859.08 : x
  2. Step 2: Convert to fraction form
    303,833.24/419,254.13 = 167,859.08/x
  3. Step 3: Cross multiply
    303,833.24x = 419,254.13 × 167,859.08
  4. Step 4: Simplify right side
    303,833.24x = 70,375,611,708.71
  5. Step 5: Solve for x
    x = 70,375,611,708.71/303,833.24
  6. Step 6: Final answer
    x = 231,625.78

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Why These Related Problems?

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