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Finding the Fourth Proportional to 410,996.12, 567,163.98 and 229,709.56

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Solution

The fourth proportional to 410,996.12, 567,163.98 and 229,709.56 is: 316,993.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,996.12 : 567,163.98 = 229,709.56 : x
  2. Step 2: Convert to fraction form
    410,996.12/567,163.98 = 229,709.56/x
  3. Step 3: Cross multiply
    410,996.12x = 567,163.98 × 229,709.56
  4. Step 4: Simplify right side
    410,996.12x = 130,282,988,293.65
  5. Step 5: Solve for x
    x = 130,282,988,293.65/410,996.12
  6. Step 6: Final answer
    x = 316,993.23

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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.