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Finding the Fourth Proportional to 397,021.20, 595,704.60 and 200,029.20

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Solution

The fourth proportional to 397,021.20, 595,704.60 and 200,029.20 is: 300,130.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,021.20 : 595,704.60 = 200,029.20 : x
  2. Step 2: Convert to fraction form
    397,021.20/595,704.60 = 200,029.20/x
  3. Step 3: Cross multiply
    397,021.20x = 595,704.60 × 200,029.20
  4. Step 4: Simplify right side
    397,021.20x = 119,158,314,574.32
  5. Step 5: Solve for x
    x = 119,158,314,574.32/397,021.20
  6. Step 6: Final answer
    x = 300,130.86

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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.