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Finding the Fourth Proportional to 265,414.40, 397,727.79 and 194,949.26

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Solution

The fourth proportional to 265,414.40, 397,727.79 and 194,949.26 is: 292,134.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,414.40 : 397,727.79 = 194,949.26 : x
  2. Step 2: Convert to fraction form
    265,414.40/397,727.79 = 194,949.26/x
  3. Step 3: Cross multiply
    265,414.40x = 397,727.79 × 194,949.26
  4. Step 4: Simplify right side
    265,414.40x = 77,536,738,341.94
  5. Step 5: Solve for x
    x = 77,536,738,341.94/265,414.40
  6. Step 6: Final answer
    x = 292,134.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.