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Finding the Fourth Proportional to 494,728.80, 741,769.20 and 195,028.80

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Solution

The fourth proportional to 494,728.80, 741,769.20 and 195,028.80 is: 292,415.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,728.80 : 741,769.20 = 195,028.80 : x
  2. Step 2: Convert to fraction form
    494,728.80/741,769.20 = 195,028.80/x
  3. Step 3: Cross multiply
    494,728.80x = 741,769.20 × 195,028.80
  4. Step 4: Simplify right side
    494,728.80x = 144,666,356,952.96
  5. Step 5: Solve for x
    x = 144,666,356,952.96/494,728.80
  6. Step 6: Final answer
    x = 292,415.47

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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.