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Finding the Fourth Proportional to 412,062.06, 618,304.05 and 196,165.14

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Solution

The fourth proportional to 412,062.06, 618,304.05 and 196,165.14 is: 294,348.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,062.06 : 618,304.05 = 196,165.14 : x
  2. Step 2: Convert to fraction form
    412,062.06/618,304.05 = 196,165.14/x
  3. Step 3: Cross multiply
    412,062.06x = 618,304.05 × 196,165.14
  4. Step 4: Simplify right side
    412,062.06x = 121,289,697,439.30
  5. Step 5: Solve for x
    x = 121,289,697,439.30/412,062.06
  6. Step 6: Final answer
    x = 294,348.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.