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Finding the Fourth Proportional to 412,043.59, 618,161.24 and 127,719.06

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Solution

The fourth proportional to 412,043.59, 618,161.24 and 127,719.06 is: 191,608.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,043.59 : 618,161.24 = 127,719.06 : x
  2. Step 2: Convert to fraction form
    412,043.59/618,161.24 = 127,719.06/x
  3. Step 3: Cross multiply
    412,043.59x = 618,161.24 × 127,719.06
  4. Step 4: Simplify right side
    412,043.59x = 78,950,972,501.23
  5. Step 5: Solve for x
    x = 78,950,972,501.23/412,043.59
  6. Step 6: Final answer
    x = 191,608.30

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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.