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Finding the Fourth Proportional to 599,920.78, 827,891.14 and 327,984.34

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Solution

The fourth proportional to 599,920.78, 827,891.14 and 327,984.34 is: 452,618.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,920.78 : 827,891.14 = 327,984.34 : x
  2. Step 2: Convert to fraction form
    599,920.78/827,891.14 = 327,984.34/x
  3. Step 3: Cross multiply
    599,920.78x = 827,891.14 × 327,984.34
  4. Step 4: Simplify right side
    599,920.78x = 271,535,329,144.75
  5. Step 5: Solve for x
    x = 271,535,329,144.75/599,920.78
  6. Step 6: Final answer
    x = 452,618.64

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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.