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Finding the Fourth Proportional to 359,774.25, 496,546.79 and 208,958.73

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Solution

The fourth proportional to 359,774.25, 496,546.79 and 208,958.73 is: 288,396.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,774.25 : 496,546.79 = 208,958.73 : x
  2. Step 2: Convert to fraction form
    359,774.25/496,546.79 = 208,958.73/x
  3. Step 3: Cross multiply
    359,774.25x = 496,546.79 × 208,958.73
  4. Step 4: Simplify right side
    359,774.25x = 103,757,786,623.98
  5. Step 5: Solve for x
    x = 103,757,786,623.98/359,774.25
  6. Step 6: Final answer
    x = 288,396.92

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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.