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Finding the Fourth Proportional to 568,116.90, 852,473.43 and 213,375.78

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Solution

The fourth proportional to 568,116.90, 852,473.43 and 213,375.78 is: 320,175.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,116.90 : 852,473.43 = 213,375.78 : x
  2. Step 2: Convert to fraction form
    568,116.90/852,473.43 = 213,375.78/x
  3. Step 3: Cross multiply
    568,116.90x = 852,473.43 × 213,375.78
  4. Step 4: Simplify right side
    568,116.90x = 181,897,183,055.53
  5. Step 5: Solve for x
    x = 181,897,183,055.53/568,116.90
  6. Step 6: Final answer
    x = 320,175.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.