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Finding the Fourth Proportional to 304,056.84, 419,610.27 and 201,906.17

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Solution

The fourth proportional to 304,056.84, 419,610.27 and 201,906.17 is: 278,638.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,056.84 : 419,610.27 = 201,906.17 : x
  2. Step 2: Convert to fraction form
    304,056.84/419,610.27 = 201,906.17/x
  3. Step 3: Cross multiply
    304,056.84x = 419,610.27 × 201,906.17
  4. Step 4: Simplify right side
    304,056.84x = 84,721,902,741.00
  5. Step 5: Solve for x
    x = 84,721,902,741.00/304,056.84
  6. Step 6: Final answer
    x = 278,638.37

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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.