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Finding the Fourth Proportional to 331,071, 456,846.39 and 185,843.54

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Solution

The fourth proportional to 331,071, 456,846.39 and 185,843.54 is: 256,446.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,071 : 456,846.39 = 185,843.54 : x
  2. Step 2: Convert to fraction form
    331,071/456,846.39 = 185,843.54/x
  3. Step 3: Cross multiply
    331,071x = 456,846.39 × 185,843.54
  4. Step 4: Simplify right side
    331,071x = 84,901,948,069.59
  5. Step 5: Solve for x
    x = 84,901,948,069.59/331,071
  6. Step 6: Final answer
    x = 256,446.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.