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Finding the Fourth Proportional to 412,481.14, 569,239.62 and 231,196.42

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Solution

The fourth proportional to 412,481.14, 569,239.62 and 231,196.42 is: 319,059.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,481.14 : 569,239.62 = 231,196.42 : x
  2. Step 2: Convert to fraction form
    412,481.14/569,239.62 = 231,196.42/x
  3. Step 3: Cross multiply
    412,481.14x = 569,239.62 × 231,196.42
  4. Step 4: Simplify right side
    412,481.14x = 131,606,162,266.16
  5. Step 5: Solve for x
    x = 131,606,162,266.16/412,481.14
  6. Step 6: Final answer
    x = 319,059.83

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1.5x scale

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.