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Finding the Fourth Proportional to 298,827.54, 412,369.97 and 162,858.60

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Solution

The fourth proportional to 298,827.54, 412,369.97 and 162,858.60 is: 224,738.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,827.54 : 412,369.97 = 162,858.60 : x
  2. Step 2: Convert to fraction form
    298,827.54/412,369.97 = 162,858.60/x
  3. Step 3: Cross multiply
    298,827.54x = 412,369.97 × 162,858.60
  4. Step 4: Simplify right side
    298,827.54x = 67,157,995,181.95
  5. Step 5: Solve for x
    x = 67,157,995,181.95/298,827.54
  6. Step 6: Final answer
    x = 224,738.31

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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.