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Finding the Fourth Proportional to 359,735.45, 496,450.98 and 206,823.24

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Solution

The fourth proportional to 359,735.45, 496,450.98 and 206,823.24 is: 285,425.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,735.45 : 496,450.98 = 206,823.24 : x
  2. Step 2: Convert to fraction form
    359,735.45/496,450.98 = 206,823.24/x
  3. Step 3: Cross multiply
    359,735.45x = 496,450.98 × 206,823.24
  4. Step 4: Simplify right side
    359,735.45x = 102,677,600,184.78
  5. Step 5: Solve for x
    x = 102,677,600,184.78/359,735.45
  6. Step 6: Final answer
    x = 285,425.31

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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.