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Finding the Fourth Proportional to 359,764.44, 496,497.42 and 206,851.32

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Solution

The fourth proportional to 359,764.44, 496,497.42 and 206,851.32 is: 285,467.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,764.44 : 496,497.42 = 206,851.32 : x
  2. Step 2: Convert to fraction form
    359,764.44/496,497.42 = 206,851.32/x
  3. Step 3: Cross multiply
    359,764.44x = 496,497.42 × 206,851.32
  4. Step 4: Simplify right side
    359,764.44x = 102,701,146,703.59
  5. Step 5: Solve for x
    x = 102,701,146,703.59/359,764.44
  6. Step 6: Final answer
    x = 285,467.75

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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.