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Finding the Fourth Proportional to 856,912.14, 1,285,548.03 and 257,917.14

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Solution

The fourth proportional to 856,912.14, 1,285,548.03 and 257,917.14 is: 386,929.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,912.14 : 1,285,548.03 = 257,917.14 : x
  2. Step 2: Convert to fraction form
    856,912.14/1,285,548.03 = 257,917.14/x
  3. Step 3: Cross multiply
    856,912.14x = 1,285,548.03 × 257,917.14
  4. Step 4: Simplify right side
    856,912.14x = 331,564,871,230.23
  5. Step 5: Solve for x
    x = 331,564,871,230.23/856,912.14
  6. Step 6: Final answer
    x = 386,929.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.