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Finding the Fourth Proportional to 287,907, 397,204.56 and 166,980.48

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Solution

The fourth proportional to 287,907, 397,204.56 and 166,980.48 is: 230,370.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,907 : 397,204.56 = 166,980.48 : x
  2. Step 2: Convert to fraction form
    287,907/397,204.56 = 166,980.48/x
  3. Step 3: Cross multiply
    287,907x = 397,204.56 × 166,980.48
  4. Step 4: Simplify right side
    287,907x = 66,325,408,086.99
  5. Step 5: Solve for x
    x = 66,325,408,086.99/287,907
  6. Step 6: Final answer
    x = 230,370.95

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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.