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Finding the Fourth Proportional to 298,755.48, 412,277.25 and 162,790.38

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Solution

The fourth proportional to 298,755.48, 412,277.25 and 162,790.38 is: 224,647.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,755.48 : 412,277.25 = 162,790.38 : x
  2. Step 2: Convert to fraction form
    298,755.48/412,277.25 = 162,790.38/x
  3. Step 3: Cross multiply
    298,755.48x = 412,277.25 × 162,790.38
  4. Step 4: Simplify right side
    298,755.48x = 67,114,770,192.86
  5. Step 5: Solve for x
    x = 67,114,770,192.86/298,755.48
  6. Step 6: Final answer
    x = 224,647.83

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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.