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Finding the Fourth Proportional to 339,000.75, 467,835.62 and 188,097.75

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Solution

The fourth proportional to 339,000.75, 467,835.62 and 188,097.75 is: 259,582.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,000.75 : 467,835.62 = 188,097.75 : x
  2. Step 2: Convert to fraction form
    339,000.75/467,835.62 = 188,097.75/x
  3. Step 3: Cross multiply
    339,000.75x = 467,835.62 × 188,097.75
  4. Step 4: Simplify right side
    339,000.75x = 87,998,826,551.37
  5. Step 5: Solve for x
    x = 87,998,826,551.37/339,000.75
  6. Step 6: Final answer
    x = 259,582.98

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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.