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Finding the Fourth Proportional to 385,224.45, 531,625.44 and 213,139.64

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Solution

The fourth proportional to 385,224.45, 531,625.44 and 213,139.64 is: 294,141.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,224.45 : 531,625.44 = 213,139.64 : x
  2. Step 2: Convert to fraction form
    385,224.45/531,625.44 = 213,139.64/x
  3. Step 3: Cross multiply
    385,224.45x = 531,625.44 × 213,139.64
  4. Step 4: Simplify right side
    385,224.45x = 113,310,454,896.44
  5. Step 5: Solve for x
    x = 113,310,454,896.44/385,224.45
  6. Step 6: Final answer
    x = 294,141.39

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.