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Finding the Fourth Proportional to 548,849.80, 823,274.70 and 194,264.20

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Solution

The fourth proportional to 548,849.80, 823,274.70 and 194,264.20 is: 291,396.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,849.80 : 823,274.70 = 194,264.20 : x
  2. Step 2: Convert to fraction form
    548,849.80/823,274.70 = 194,264.20/x
  3. Step 3: Cross multiply
    548,849.80x = 823,274.70 × 194,264.20
  4. Step 4: Simplify right side
    548,849.80x = 159,932,800,975.74
  5. Step 5: Solve for x
    x = 159,932,800,975.74/548,849.80
  6. Step 6: Final answer
    x = 291,396.30

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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.