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Finding the Fourth Proportional to 344,682, 475,632 and 193,769.28

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Solution

The fourth proportional to 344,682, 475,632 and 193,769.28 is: 267,385.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,682 : 475,632 = 193,769.28 : x
  2. Step 2: Convert to fraction form
    344,682/475,632 = 193,769.28/x
  3. Step 3: Cross multiply
    344,682x = 475,632 × 193,769.28
  4. Step 4: Simplify right side
    344,682x = 92,162,870,184.96
  5. Step 5: Solve for x
    x = 92,162,870,184.96/344,682
  6. Step 6: Final answer
    x = 267,385.21

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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.