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Finding the Fourth Proportional to 389,224.80, 583,837.20 and 256,255.20

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Solution

The fourth proportional to 389,224.80, 583,837.20 and 256,255.20 is: 384,382.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,224.80 : 583,837.20 = 256,255.20 : x
  2. Step 2: Convert to fraction form
    389,224.80/583,837.20 = 256,255.20/x
  3. Step 3: Cross multiply
    389,224.80x = 583,837.20 × 256,255.20
  4. Step 4: Simplify right side
    389,224.80x = 149,611,318,453.44
  5. Step 5: Solve for x
    x = 149,611,318,453.44/389,224.80
  6. Step 6: Final answer
    x = 384,382.80

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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.