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Finding the Fourth Proportional to 298,517.23, 411,947.86 and 162,552.79

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Solution

The fourth proportional to 298,517.23, 411,947.86 and 162,552.79 is: 224,319.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,517.23 : 411,947.86 = 162,552.79 : x
  2. Step 2: Convert to fraction form
    298,517.23/411,947.86 = 162,552.79/x
  3. Step 3: Cross multiply
    298,517.23x = 411,947.86 × 162,552.79
  4. Step 4: Simplify right side
    298,517.23x = 66,963,274,390.87
  5. Step 5: Solve for x
    x = 66,963,274,390.87/298,517.23
  6. Step 6: Final answer
    x = 224,319.63

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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.