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Finding the Fourth Proportional to 538,608.36, 743,235.84 and 312,268.44

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Solution

The fourth proportional to 538,608.36, 743,235.84 and 312,268.44 is: 430,905.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,608.36 : 743,235.84 = 312,268.44 : x
  2. Step 2: Convert to fraction form
    538,608.36/743,235.84 = 312,268.44/x
  3. Step 3: Cross multiply
    538,608.36x = 743,235.84 × 312,268.44
  4. Step 4: Simplify right side
    538,608.36x = 232,089,096,308.89
  5. Step 5: Solve for x
    x = 232,089,096,308.89/538,608.36
  6. Step 6: Final answer
    x = 430,905.11

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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.