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Finding the Fourth Proportional to 299,325.54, 413,519.09 and 196,204.50

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Solution

The fourth proportional to 299,325.54, 413,519.09 and 196,204.50 is: 271,057.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,325.54 : 413,519.09 = 196,204.50 : x
  2. Step 2: Convert to fraction form
    299,325.54/413,519.09 = 196,204.50/x
  3. Step 3: Cross multiply
    299,325.54x = 413,519.09 × 196,204.50
  4. Step 4: Simplify right side
    299,325.54x = 81,134,306,751.82
  5. Step 5: Solve for x
    x = 81,134,306,751.82/299,325.54
  6. Step 6: Final answer
    x = 271,057.08

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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.