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Finding the Fourth Proportional to 365,738.50, 504,729.26 and 204,621.40

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Solution

The fourth proportional to 365,738.50, 504,729.26 and 204,621.40 is: 282,383.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,738.50 : 504,729.26 = 204,621.40 : x
  2. Step 2: Convert to fraction form
    365,738.50/504,729.26 = 204,621.40/x
  3. Step 3: Cross multiply
    365,738.50x = 504,729.26 × 204,621.40
  4. Step 4: Simplify right side
    365,738.50x = 103,278,407,802.16
  5. Step 5: Solve for x
    x = 103,278,407,802.16/365,738.50
  6. Step 6: Final answer
    x = 282,383.20

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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.