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Finding the Fourth Proportional to 568,269, 852,441.17 and 189,174.42

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Solution

The fourth proportional to 568,269, 852,441.17 and 189,174.42 is: 283,774.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,269 : 852,441.17 = 189,174.42 : x
  2. Step 2: Convert to fraction form
    568,269/852,441.17 = 189,174.42/x
  3. Step 3: Cross multiply
    568,269x = 852,441.17 × 189,174.42
  4. Step 4: Simplify right side
    568,269x = 161,260,062,973.00
  5. Step 5: Solve for x
    x = 161,260,062,973.00/568,269
  6. Step 6: Final answer
    x = 283,774.17

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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.