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Finding the Fourth Proportional to 365,756.22, 504,744.33 and 204,613.96

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Solution

The fourth proportional to 365,756.22, 504,744.33 and 204,613.96 is: 282,367.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,756.22 : 504,744.33 = 204,613.96 : x
  2. Step 2: Convert to fraction form
    365,756.22/504,744.33 = 204,613.96/x
  3. Step 3: Cross multiply
    365,756.22x = 504,744.33 × 204,613.96
  4. Step 4: Simplify right side
    365,756.22x = 103,277,736,148.85
  5. Step 5: Solve for x
    x = 103,277,736,148.85/365,756.22
  6. Step 6: Final answer
    x = 282,367.68

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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.