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Finding the Fourth Proportional to 303,909.45, 419,393.43 and 167,952.84

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Solution

The fourth proportional to 303,909.45, 419,393.43 and 167,952.84 is: 231,774.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,909.45 : 419,393.43 = 167,952.84 : x
  2. Step 2: Convert to fraction form
    303,909.45/419,393.43 = 167,952.84/x
  3. Step 3: Cross multiply
    303,909.45x = 419,393.43 × 167,952.84
  4. Step 4: Simplify right side
    303,909.45x = 70,438,317,227.18
  5. Step 5: Solve for x
    x = 70,438,317,227.18/303,909.45
  6. Step 6: Final answer
    x = 231,774.03

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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.