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Finding the Fourth Proportional to 298,805.11, 412,351.06 and 164,669.11

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Solution

The fourth proportional to 298,805.11, 412,351.06 and 164,669.11 is: 227,243.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,805.11 : 412,351.06 = 164,669.11 : x
  2. Step 2: Convert to fraction form
    298,805.11/412,351.06 = 164,669.11/x
  3. Step 3: Cross multiply
    298,805.11x = 412,351.06 × 164,669.11
  4. Step 4: Simplify right side
    298,805.11x = 67,901,480,615.21
  5. Step 5: Solve for x
    x = 67,901,480,615.21/298,805.11
  6. Step 6: Final answer
    x = 227,243.37

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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.