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Finding the Fourth Proportional to 298,630.88, 412,110.63 and 164,494.88

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Solution

The fourth proportional to 298,630.88, 412,110.63 and 164,494.88 is: 227,002.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,630.88 : 412,110.63 = 164,494.88 : x
  2. Step 2: Convert to fraction form
    298,630.88/412,110.63 = 164,494.88/x
  3. Step 3: Cross multiply
    298,630.88x = 412,110.63 × 164,494.88
  4. Step 4: Simplify right side
    298,630.88x = 67,790,086,568.02
  5. Step 5: Solve for x
    x = 67,790,086,568.02/298,630.88
  6. Step 6: Final answer
    x = 227,002.94

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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.