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Finding the Fourth Proportional to 303,833.74, 419,254.82 and 167,859.58

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Solution

The fourth proportional to 303,833.74, 419,254.82 and 167,859.58 is: 231,626.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,833.74 : 419,254.82 = 167,859.58 : x
  2. Step 2: Convert to fraction form
    303,833.74/419,254.82 = 167,859.58/x
  3. Step 3: Cross multiply
    303,833.74x = 419,254.82 × 167,859.58
  4. Step 4: Simplify right side
    303,833.74x = 70,375,937,158.88
  5. Step 5: Solve for x
    x = 70,375,937,158.88/303,833.74
  6. Step 6: Final answer
    x = 231,626.47

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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.