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Finding the Fourth Proportional to 397,758.75, 596,638.14 and 327,490.44

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Solution

The fourth proportional to 397,758.75, 596,638.14 and 327,490.44 is: 491,235.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,758.75 : 596,638.14 = 327,490.44 : x
  2. Step 2: Convert to fraction form
    397,758.75/596,638.14 = 327,490.44/x
  3. Step 3: Cross multiply
    397,758.75x = 596,638.14 × 327,490.44
  4. Step 4: Simplify right side
    397,758.75x = 195,393,283,523.90
  5. Step 5: Solve for x
    x = 195,393,283,523.90/397,758.75
  6. Step 6: Final answer
    x = 491,235.67

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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.