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Finding the Fourth Proportional to 358,522.96, 494,751.36 and 205,556.08

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Solution

The fourth proportional to 358,522.96, 494,751.36 and 205,556.08 is: 283,661.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,522.96 : 494,751.36 = 205,556.08 : x
  2. Step 2: Convert to fraction form
    358,522.96/494,751.36 = 205,556.08/x
  3. Step 3: Cross multiply
    358,522.96x = 494,751.36 × 205,556.08
  4. Step 4: Simplify right side
    358,522.96x = 101,699,150,136.27
  5. Step 5: Solve for x
    x = 101,699,150,136.27/358,522.96
  6. Step 6: Final answer
    x = 283,661.47

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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.