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Finding the Fourth Proportional to 509,736.24, 765,195.12 and 273,540.24

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Solution

The fourth proportional to 509,736.24, 765,195.12 and 273,540.24 is: 410,627.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,736.24 : 765,195.12 = 273,540.24 : x
  2. Step 2: Convert to fraction form
    509,736.24/765,195.12 = 273,540.24/x
  3. Step 3: Cross multiply
    509,736.24x = 765,195.12 × 273,540.24
  4. Step 4: Simplify right side
    509,736.24x = 209,311,656,771.63
  5. Step 5: Solve for x
    x = 209,311,656,771.63/509,736.24
  6. Step 6: Final answer
    x = 410,627.38

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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.