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Finding the Fourth Proportional to 412,657.26, 618,873.72 and 113,065.56

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Solution

The fourth proportional to 412,657.26, 618,873.72 and 113,065.56 is: 169,567.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,657.26 : 618,873.72 = 113,065.56 : x
  2. Step 2: Convert to fraction form
    412,657.26/618,873.72 = 113,065.56/x
  3. Step 3: Cross multiply
    412,657.26x = 618,873.72 × 113,065.56
  4. Step 4: Simplify right side
    412,657.26x = 69,973,303,721.08
  5. Step 5: Solve for x
    x = 69,973,303,721.08/412,657.26
  6. Step 6: Final answer
    x = 169,567.61

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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.