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Finding the Fourth Proportional to 339,855.06, 509,782.56 and 161,822.33

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Solution

The fourth proportional to 339,855.06, 509,782.56 and 161,822.33 is: 242,733.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,855.06 : 509,782.56 = 161,822.33 : x
  2. Step 2: Convert to fraction form
    339,855.06/509,782.56 = 161,822.33/x
  3. Step 3: Cross multiply
    339,855.06x = 509,782.56 × 161,822.33
  4. Step 4: Simplify right side
    339,855.06x = 82,494,201,652.56
  5. Step 5: Solve for x
    x = 82,494,201,652.56/339,855.06
  6. Step 6: Final answer
    x = 242,733.48

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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.