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Finding the Fourth Proportional to 298,610.62, 412,092.10 and 162,648.66

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Solution

The fourth proportional to 298,610.62, 412,092.10 and 162,648.66 is: 224,460.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,610.62 : 412,092.10 = 162,648.66 : x
  2. Step 2: Convert to fraction form
    298,610.62/412,092.10 = 162,648.66/x
  3. Step 3: Cross multiply
    298,610.62x = 412,092.10 × 162,648.66
  4. Step 4: Simplify right side
    298,610.62x = 67,026,227,861.59
  5. Step 5: Solve for x
    x = 67,026,227,861.59/298,610.62
  6. Step 6: Final answer
    x = 224,460.30

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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.