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Finding the Fourth Proportional to 365,236.95, 504,017.31 and 204,093.32

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Solution

The fourth proportional to 365,236.95, 504,017.31 and 204,093.32 is: 281,643.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,236.95 : 504,017.31 = 204,093.32 : x
  2. Step 2: Convert to fraction form
    365,236.95/504,017.31 = 204,093.32/x
  3. Step 3: Cross multiply
    365,236.95x = 504,017.31 × 204,093.32
  4. Step 4: Simplify right side
    365,236.95x = 102,866,567,395.41
  5. Step 5: Solve for x
    x = 102,866,567,395.41/365,236.95
  6. Step 6: Final answer
    x = 281,643.38

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Why These Related Problems?

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