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Finding the Fourth Proportional to 298,944.24, 412,542.84 and 171,627.60

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Solution

The fourth proportional to 298,944.24, 412,542.84 and 171,627.60 is: 236,845.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,944.24 : 412,542.84 = 171,627.60 : x
  2. Step 2: Convert to fraction form
    298,944.24/412,542.84 = 171,627.60/x
  3. Step 3: Cross multiply
    298,944.24x = 412,542.84 × 171,627.60
  4. Step 4: Simplify right side
    298,944.24x = 70,803,737,526.38
  5. Step 5: Solve for x
    x = 70,803,737,526.38/298,944.24
  6. Step 6: Final answer
    x = 236,845.97

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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.