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Finding the Fourth Proportional to 233,497.80, 349,728.30 and 202,393.80

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Solution

The fourth proportional to 233,497.80, 349,728.30 and 202,393.80 is: 303,141.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,497.80 : 349,728.30 = 202,393.80 : x
  2. Step 2: Convert to fraction form
    233,497.80/349,728.30 = 202,393.80/x
  3. Step 3: Cross multiply
    233,497.80x = 349,728.30 × 202,393.80
  4. Step 4: Simplify right side
    233,497.80x = 70,782,839,604.54
  5. Step 5: Solve for x
    x = 70,782,839,604.54/233,497.80
  6. Step 6: Final answer
    x = 303,141.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.