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Finding the Fourth Proportional to 359,936.86, 496,808.94 and 206,991.76

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Solution

The fourth proportional to 359,936.86, 496,808.94 and 206,991.76 is: 285,703.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,936.86 : 496,808.94 = 206,991.76 : x
  2. Step 2: Convert to fraction form
    359,936.86/496,808.94 = 206,991.76/x
  3. Step 3: Cross multiply
    359,936.86x = 496,808.94 × 206,991.76
  4. Step 4: Simplify right side
    359,936.86x = 102,835,356,874.33
  5. Step 5: Solve for x
    x = 102,835,356,874.33/359,936.86
  6. Step 6: Final answer
    x = 285,703.88

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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.