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Finding the Fourth Proportional to 270,586.82, 406,020.20 and 196,319.94

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Solution

The fourth proportional to 270,586.82, 406,020.20 and 196,319.94 is: 294,581.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,586.82 : 406,020.20 = 196,319.94 : x
  2. Step 2: Convert to fraction form
    270,586.82/406,020.20 = 196,319.94/x
  3. Step 3: Cross multiply
    270,586.82x = 406,020.20 × 196,319.94
  4. Step 4: Simplify right side
    270,586.82x = 79,709,860,321.19
  5. Step 5: Solve for x
    x = 79,709,860,321.19/270,586.82
  6. Step 6: Final answer
    x = 294,581.46

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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.