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Finding the Fourth Proportional to 312,092.80, 430,812.48 and 199,081.60

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Solution

The fourth proportional to 312,092.80, 430,812.48 and 199,081.60 is: 274,811.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,092.80 : 430,812.48 = 199,081.60 : x
  2. Step 2: Convert to fraction form
    312,092.80/430,812.48 = 199,081.60/x
  3. Step 3: Cross multiply
    312,092.80x = 430,812.48 × 199,081.60
  4. Step 4: Simplify right side
    312,092.80x = 85,766,837,818.37
  5. Step 5: Solve for x
    x = 85,766,837,818.37/312,092.80
  6. Step 6: Final answer
    x = 274,811.97

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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.