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Finding the Fourth Proportional to 298,731.70, 412,244.56 and 162,766.77

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Solution

The fourth proportional to 298,731.70, 412,244.56 and 162,766.77 is: 224,615.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,731.70 : 412,244.56 = 162,766.77 : x
  2. Step 2: Convert to fraction form
    298,731.70/412,244.56 = 162,766.77/x
  3. Step 3: Cross multiply
    298,731.70x = 412,244.56 × 162,766.77
  4. Step 4: Simplify right side
    298,731.70x = 67,099,715,481.27
  5. Step 5: Solve for x
    x = 67,099,715,481.27/298,731.70
  6. Step 6: Final answer
    x = 224,615.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.