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Finding the Fourth Proportional to 397,266.30, 595,899.45 and 184,033.80

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Solution

The fourth proportional to 397,266.30, 595,899.45 and 184,033.80 is: 276,050.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,266.30 : 595,899.45 = 184,033.80 : x
  2. Step 2: Convert to fraction form
    397,266.30/595,899.45 = 184,033.80/x
  3. Step 3: Cross multiply
    397,266.30x = 595,899.45 × 184,033.80
  4. Step 4: Simplify right side
    397,266.30x = 109,665,640,201.41
  5. Step 5: Solve for x
    x = 109,665,640,201.41/397,266.30
  6. Step 6: Final answer
    x = 276,050.70

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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.