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Finding the Fourth Proportional to 412,896.42, 569,839.05 and 243,185.22

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Solution

The fourth proportional to 412,896.42, 569,839.05 and 243,185.22 is: 335,620.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,896.42 : 569,839.05 = 243,185.22 : x
  2. Step 2: Convert to fraction form
    412,896.42/569,839.05 = 243,185.22/x
  3. Step 3: Cross multiply
    412,896.42x = 569,839.05 × 243,185.22
  4. Step 4: Simplify right side
    412,896.42x = 138,576,434,738.84
  5. Step 5: Solve for x
    x = 138,576,434,738.84/412,896.42
  6. Step 6: Final answer
    x = 335,620.33

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