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Finding the Fourth Proportional to 397,286.80, 595,930.20 and 318,554.80

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Solution

The fourth proportional to 397,286.80, 595,930.20 and 318,554.80 is: 477,832.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,286.80 : 595,930.20 = 318,554.80 : x
  2. Step 2: Convert to fraction form
    397,286.80/595,930.20 = 318,554.80/x
  3. Step 3: Cross multiply
    397,286.80x = 595,930.20 × 318,554.80
  4. Step 4: Simplify right side
    397,286.80x = 189,836,425,674.96
  5. Step 5: Solve for x
    x = 189,836,425,674.96/397,286.80
  6. Step 6: Final answer
    x = 477,832.20

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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.