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Finding the Fourth Proportional to 339,984.98, 509,976.75 and 161,952.02

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Solution

The fourth proportional to 339,984.98, 509,976.75 and 161,952.02 is: 242,927.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,984.98 : 509,976.75 = 161,952.02 : x
  2. Step 2: Convert to fraction form
    339,984.98/509,976.75 = 161,952.02/x
  3. Step 3: Cross multiply
    339,984.98x = 509,976.75 × 161,952.02
  4. Step 4: Simplify right side
    339,984.98x = 82,591,764,815.54
  5. Step 5: Solve for x
    x = 82,591,764,815.54/339,984.98
  6. Step 6: Final answer
    x = 242,927.69

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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.