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Finding the Fourth Proportional to 412,056.92, 618,296.34 and 196,159.98

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Solution

The fourth proportional to 412,056.92, 618,296.34 and 196,159.98 is: 294,340.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,056.92 : 618,296.34 = 196,159.98 : x
  2. Step 2: Convert to fraction form
    412,056.92/618,296.34 = 196,159.98/x
  3. Step 3: Cross multiply
    412,056.92x = 618,296.34 × 196,159.98
  4. Step 4: Simplify right side
    412,056.92x = 121,284,996,161.37
  5. Step 5: Solve for x
    x = 121,284,996,161.37/412,056.92
  6. Step 6: Final answer
    x = 294,340.39

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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.