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Finding the Fourth Proportional to 301,644.78, 416,115.83 and 192,634.53

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Solution

The fourth proportional to 301,644.78, 416,115.83 and 192,634.53 is: 265,737.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,644.78 : 416,115.83 = 192,634.53 : x
  2. Step 2: Convert to fraction form
    301,644.78/416,115.83 = 192,634.53/x
  3. Step 3: Cross multiply
    301,644.78x = 416,115.83 × 192,634.53
  4. Step 4: Simplify right side
    301,644.78x = 80,158,276,374.44
  5. Step 5: Solve for x
    x = 80,158,276,374.44/301,644.78
  6. Step 6: Final answer
    x = 265,737.32

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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.