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Finding the Fourth Proportional to 494,228.42, 741,061.43 and 194,546.54

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Solution

The fourth proportional to 494,228.42, 741,061.43 and 194,546.54 is: 291,709.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,228.42 : 741,061.43 = 194,546.54 : x
  2. Step 2: Convert to fraction form
    494,228.42/741,061.43 = 194,546.54/x
  3. Step 3: Cross multiply
    494,228.42x = 741,061.43 × 194,546.54
  4. Step 4: Simplify right side
    494,228.42x = 144,170,937,133.95
  5. Step 5: Solve for x
    x = 144,170,937,133.95/494,228.42
  6. Step 6: Final answer
    x = 291,709.12

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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.