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Finding the Fourth Proportional to 289,728.80, 433,556.40 and 264,845.60

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Solution

The fourth proportional to 289,728.80, 433,556.40 and 264,845.60 is: 396,320.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,728.80 : 433,556.40 = 264,845.60 : x
  2. Step 2: Convert to fraction form
    289,728.80/433,556.40 = 264,845.60/x
  3. Step 3: Cross multiply
    289,728.80x = 433,556.40 × 264,845.60
  4. Step 4: Simplify right side
    289,728.80x = 114,825,504,891.84
  5. Step 5: Solve for x
    x = 114,825,504,891.84/289,728.80
  6. Step 6: Final answer
    x = 396,320.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.