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Finding the Fourth Proportional to 365,822.88, 504,855.20 and 204,668.32

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Solution

The fourth proportional to 365,822.88, 504,855.20 and 204,668.32 is: 282,453.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,822.88 : 504,855.20 = 204,668.32 : x
  2. Step 2: Convert to fraction form
    365,822.88/504,855.20 = 204,668.32/x
  3. Step 3: Cross multiply
    365,822.88x = 504,855.20 × 204,668.32
  4. Step 4: Simplify right side
    365,822.88x = 103,327,865,627.26
  5. Step 5: Solve for x
    x = 103,327,865,627.26/365,822.88
  6. Step 6: Final answer
    x = 282,453.26

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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.