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Finding the Fourth Proportional to 568,181.78, 852,051.18 and 213,002

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Solution

The fourth proportional to 568,181.78, 852,051.18 and 213,002 is: 319,419.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,181.78 : 852,051.18 = 213,002 : x
  2. Step 2: Convert to fraction form
    568,181.78/852,051.18 = 213,002/x
  3. Step 3: Cross multiply
    568,181.78x = 852,051.18 × 213,002
  4. Step 4: Simplify right side
    568,181.78x = 181,488,605,442.36
  5. Step 5: Solve for x
    x = 181,488,605,442.36/568,181.78
  6. Step 6: Final answer
    x = 319,419.97

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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.