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Finding the Fourth Proportional to 359,533.04, 496,138.91 and 206,463.49

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Solution

The fourth proportional to 359,533.04, 496,138.91 and 206,463.49 is: 284,910.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,533.04 : 496,138.91 = 206,463.49 : x
  2. Step 2: Convert to fraction form
    359,533.04/496,138.91 = 206,463.49/x
  3. Step 3: Cross multiply
    359,533.04x = 496,138.91 × 206,463.49
  4. Step 4: Simplify right side
    359,533.04x = 102,434,568,610.73
  5. Step 5: Solve for x
    x = 102,434,568,610.73/359,533.04
  6. Step 6: Final answer
    x = 284,910.03

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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.