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Finding the Fourth Proportional to 365,728.96, 504,682.26 and 204,556.12

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Solution

The fourth proportional to 365,728.96, 504,682.26 and 204,556.12 is: 282,274.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,728.96 : 504,682.26 = 204,556.12 : x
  2. Step 2: Convert to fraction form
    365,728.96/504,682.26 = 204,556.12/x
  3. Step 3: Cross multiply
    365,728.96x = 504,682.26 × 204,556.12
  4. Step 4: Simplify right side
    365,728.96x = 103,235,844,938.43
  5. Step 5: Solve for x
    x = 103,235,844,938.43/365,728.96
  6. Step 6: Final answer
    x = 282,274.19

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1.5x scale

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.