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Finding the Fourth Proportional to 454,803.80, 682,983.30 and 297,728.60

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Solution

The fourth proportional to 454,803.80, 682,983.30 and 297,728.60 is: 447,101.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,803.80 : 682,983.30 = 297,728.60 : x
  2. Step 2: Convert to fraction form
    454,803.80/682,983.30 = 297,728.60/x
  3. Step 3: Cross multiply
    454,803.80x = 682,983.30 × 297,728.60
  4. Step 4: Simplify right side
    454,803.80x = 203,343,661,732.38
  5. Step 5: Solve for x
    x = 203,343,661,732.38/454,803.80
  6. Step 6: Final answer
    x = 447,101.94

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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.