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Finding the Fourth Proportional to 359,485.16, 496,105.35 and 206,571.32

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Solution

The fourth proportional to 359,485.16, 496,105.35 and 206,571.32 is: 285,077.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,485.16 : 496,105.35 = 206,571.32 : x
  2. Step 2: Convert to fraction form
    359,485.16/496,105.35 = 206,571.32/x
  3. Step 3: Cross multiply
    359,485.16x = 496,105.35 × 206,571.32
  4. Step 4: Simplify right side
    359,485.16x = 102,481,137,008.56
  5. Step 5: Solve for x
    x = 102,481,137,008.56/359,485.16
  6. Step 6: Final answer
    x = 285,077.52

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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.