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Finding the Fourth Proportional to 395,611.67, 545,944.34 and 214,324.87

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Solution

The fourth proportional to 395,611.67, 545,944.34 and 214,324.87 is: 295,768.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,611.67 : 545,944.34 = 214,324.87 : x
  2. Step 2: Convert to fraction form
    395,611.67/545,944.34 = 214,324.87/x
  3. Step 3: Cross multiply
    395,611.67x = 545,944.34 × 214,324.87
  4. Step 4: Simplify right side
    395,611.67x = 117,009,445,896.39
  5. Step 5: Solve for x
    x = 117,009,445,896.39/395,611.67
  6. Step 6: Final answer
    x = 295,768.44

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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.