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Finding the Fourth Proportional to 339,344.16, 468,160.74 and 196,077.84

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Solution

The fourth proportional to 339,344.16, 468,160.74 and 196,077.84 is: 270,509.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,344.16 : 468,160.74 = 196,077.84 : x
  2. Step 2: Convert to fraction form
    339,344.16/468,160.74 = 196,077.84/x
  3. Step 3: Cross multiply
    339,344.16x = 468,160.74 × 196,077.84
  4. Step 4: Simplify right side
    339,344.16x = 91,795,946,672.00
  5. Step 5: Solve for x
    x = 91,795,946,672.00/339,344.16
  6. Step 6: Final answer
    x = 270,509.88

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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.