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Finding the Fourth Proportional to 359,803.70, 496,558.26 and 206,891.60

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Solution

The fourth proportional to 359,803.70, 496,558.26 and 206,891.60 is: 285,527.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,803.70 : 496,558.26 = 206,891.60 : x
  2. Step 2: Convert to fraction form
    359,803.70/496,558.26 = 206,891.60/x
  3. Step 3: Cross multiply
    359,803.70x = 496,558.26 × 206,891.60
  4. Step 4: Simplify right side
    359,803.70x = 102,733,732,904.62
  5. Step 5: Solve for x
    x = 102,733,732,904.62/359,803.70
  6. Step 6: Final answer
    x = 285,527.17

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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.