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Finding the Fourth Proportional to 358,112.28, 494,208.54 and 196,974.84

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Solution

The fourth proportional to 358,112.28, 494,208.54 and 196,974.84 is: 271,832.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,112.28 : 494,208.54 = 196,974.84 : x
  2. Step 2: Convert to fraction form
    358,112.28/494,208.54 = 196,974.84/x
  3. Step 3: Cross multiply
    358,112.28x = 494,208.54 × 196,974.84
  4. Step 4: Simplify right side
    358,112.28x = 97,346,648,093.13
  5. Step 5: Solve for x
    x = 97,346,648,093.13/358,112.28
  6. Step 6: Final answer
    x = 271,832.76

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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.