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Finding the Fourth Proportional to 494,618, 741,428.49 and 194,982.62

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Solution

The fourth proportional to 494,618, 741,428.49 and 194,982.62 is: 292,277.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,618 : 741,428.49 = 194,982.62 : x
  2. Step 2: Convert to fraction form
    494,618/741,428.49 = 194,982.62/x
  3. Step 3: Cross multiply
    494,618x = 741,428.49 × 194,982.62
  4. Step 4: Simplify right side
    494,618x = 144,565,669,522.84
  5. Step 5: Solve for x
    x = 144,565,669,522.84/494,618
  6. Step 6: Final answer
    x = 292,277.41

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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.