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Finding the Fourth Proportional to 298,806, 412,352.29 and 164,670

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Solution

The fourth proportional to 298,806, 412,352.29 and 164,670 is: 227,244.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,806 : 412,352.29 = 164,670 : x
  2. Step 2: Convert to fraction form
    298,806/412,352.29 = 164,670/x
  3. Step 3: Cross multiply
    298,806x = 412,352.29 × 164,670
  4. Step 4: Simplify right side
    298,806x = 67,902,051,491.38
  5. Step 5: Solve for x
    x = 67,902,051,491.38/298,806
  6. Step 6: Final answer
    x = 227,244.61

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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.