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Finding the Fourth Proportional to 341,238.83, 470,906.46 and 188,278.43

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Solution

The fourth proportional to 341,238.83, 470,906.46 and 188,278.43 is: 259,822.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,238.83 : 470,906.46 = 188,278.43 : x
  2. Step 2: Convert to fraction form
    341,238.83/470,906.46 = 188,278.43/x
  3. Step 3: Cross multiply
    341,238.83x = 470,906.46 × 188,278.43
  4. Step 4: Simplify right side
    341,238.83x = 88,661,526,611.13
  5. Step 5: Solve for x
    x = 88,661,526,611.13/341,238.83
  6. Step 6: Final answer
    x = 259,822.51

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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.