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Finding the Fourth Proportional to 360,198.94, 497,076.06 and 196,858.78

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Solution

The fourth proportional to 360,198.94, 497,076.06 and 196,858.78 is: 271,665.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,198.94 : 497,076.06 = 196,858.78 : x
  2. Step 2: Convert to fraction form
    360,198.94/497,076.06 = 196,858.78/x
  3. Step 3: Cross multiply
    360,198.94x = 497,076.06 × 196,858.78
  4. Step 4: Simplify right side
    360,198.94x = 97,853,786,738.81
  5. Step 5: Solve for x
    x = 97,853,786,738.81/360,198.94
  6. Step 6: Final answer
    x = 271,665.95

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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.