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Finding the Fourth Proportional to 412,698.60, 569,481.06 and 242,922.60

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Solution

The fourth proportional to 412,698.60, 569,481.06 and 242,922.60 is: 335,207.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,698.60 : 569,481.06 = 242,922.60 : x
  2. Step 2: Convert to fraction form
    412,698.60/569,481.06 = 242,922.60/x
  3. Step 3: Cross multiply
    412,698.60x = 569,481.06 × 242,922.60
  4. Step 4: Simplify right side
    412,698.60x = 138,339,819,745.96
  5. Step 5: Solve for x
    x = 138,339,819,745.96/412,698.60
  6. Step 6: Final answer
    x = 335,207.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.