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Finding the Fourth Proportional to 298,806.81, 412,353.41 and 164,670.81

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Solution

The fourth proportional to 298,806.81, 412,353.41 and 164,670.81 is: 227,245.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,806.81 : 412,353.41 = 164,670.81 : x
  2. Step 2: Convert to fraction form
    298,806.81/412,353.41 = 164,670.81/x
  3. Step 3: Cross multiply
    298,806.81x = 412,353.41 × 164,670.81
  4. Step 4: Simplify right side
    298,806.81x = 67,902,571,061.85
  5. Step 5: Solve for x
    x = 67,902,571,061.85/298,806.81
  6. Step 6: Final answer
    x = 227,245.73

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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.