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Finding the Fourth Proportional to 298,753.48, 412,274.50 and 162,788.37

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Solution

The fourth proportional to 298,753.48, 412,274.50 and 162,788.37 is: 224,645.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,753.48 : 412,274.50 = 162,788.37 : x
  2. Step 2: Convert to fraction form
    298,753.48/412,274.50 = 162,788.37/x
  3. Step 3: Cross multiply
    298,753.48x = 412,274.50 × 162,788.37
  4. Step 4: Simplify right side
    298,753.48x = 67,113,493,847.57
  5. Step 5: Solve for x
    x = 67,113,493,847.57/298,753.48
  6. Step 6: Final answer
    x = 224,645.06

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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.