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Finding the Fourth Proportional to 395,992.89, 594,099.09 and 182,826

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Solution

The fourth proportional to 395,992.89, 594,099.09 and 182,826 is: 274,289.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,992.89 : 594,099.09 = 182,826 : x
  2. Step 2: Convert to fraction form
    395,992.89/594,099.09 = 182,826/x
  3. Step 3: Cross multiply
    395,992.89x = 594,099.09 × 182,826
  4. Step 4: Simplify right side
    395,992.89x = 108,616,760,228.34
  5. Step 5: Solve for x
    x = 108,616,760,228.34/395,992.89
  6. Step 6: Final answer
    x = 274,289.67

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Why These Related Problems?

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