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Finding the Fourth Proportional to 494,492.80, 741,415.20 and 194,792.80

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Solution

The fourth proportional to 494,492.80, 741,415.20 and 194,792.80 is: 292,061.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,492.80 : 741,415.20 = 194,792.80 : x
  2. Step 2: Convert to fraction form
    494,492.80/741,415.20 = 194,792.80/x
  3. Step 3: Cross multiply
    494,492.80x = 741,415.20 × 194,792.80
  4. Step 4: Simplify right side
    494,492.80x = 144,422,342,770.56
  5. Step 5: Solve for x
    x = 144,422,342,770.56/494,492.80
  6. Step 6: Final answer
    x = 292,061.57

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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.