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Finding the Fourth Proportional to 412,115.39, 618,384.17 and 196,218.44

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Solution

The fourth proportional to 412,115.39, 618,384.17 and 196,218.44 is: 294,428.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,115.39 : 618,384.17 = 196,218.44 : x
  2. Step 2: Convert to fraction form
    412,115.39/618,384.17 = 196,218.44/x
  3. Step 3: Cross multiply
    412,115.39x = 618,384.17 × 196,218.44
  4. Step 4: Simplify right side
    412,115.39x = 121,338,376,139.84
  5. Step 5: Solve for x
    x = 121,338,376,139.84/412,115.39
  6. Step 6: Final answer
    x = 294,428.16

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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.