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Finding the Fourth Proportional to 286,664.14, 395,610.54 and 159,337

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Solution

The fourth proportional to 286,664.14, 395,610.54 and 159,337 is: 219,892.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,664.14 : 395,610.54 = 159,337 : x
  2. Step 2: Convert to fraction form
    286,664.14/395,610.54 = 159,337/x
  3. Step 3: Cross multiply
    286,664.14x = 395,610.54 × 159,337
  4. Step 4: Simplify right side
    286,664.14x = 63,035,396,611.98
  5. Step 5: Solve for x
    x = 63,035,396,611.98/286,664.14
  6. Step 6: Final answer
    x = 219,892.86

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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.