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Finding the Fourth Proportional to 298,805.63, 412,351.77 and 164,669.63

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Solution

The fourth proportional to 298,805.63, 412,351.77 and 164,669.63 is: 227,244.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,805.63 : 412,351.77 = 164,669.63 : x
  2. Step 2: Convert to fraction form
    298,805.63/412,351.77 = 164,669.63/x
  3. Step 3: Cross multiply
    298,805.63x = 412,351.77 × 164,669.63
  4. Step 4: Simplify right side
    298,805.63x = 67,901,811,488.36
  5. Step 5: Solve for x
    x = 67,901,811,488.36/298,805.63
  6. Step 6: Final answer
    x = 227,244.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.