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Finding the Fourth Proportional to 277,406.22, 382,856.96 and 205,990.14

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Solution

The fourth proportional to 277,406.22, 382,856.96 and 205,990.14 is: 284,293.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,406.22 : 382,856.96 = 205,990.14 : x
  2. Step 2: Convert to fraction form
    277,406.22/382,856.96 = 205,990.14/x
  3. Step 3: Cross multiply
    277,406.22x = 382,856.96 × 205,990.14
  4. Step 4: Simplify right side
    277,406.22x = 78,864,758,790.37
  5. Step 5: Solve for x
    x = 78,864,758,790.37/277,406.22
  6. Step 6: Final answer
    x = 284,293.40

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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.