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Finding the Fourth Proportional to 287,908, 397,205.94 and 166,981.48

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Solution

The fourth proportional to 287,908, 397,205.94 and 166,981.48 is: 230,372.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,908 : 397,205.94 = 166,981.48 : x
  2. Step 2: Convert to fraction form
    287,908/397,205.94 = 166,981.48/x
  3. Step 3: Cross multiply
    287,908x = 397,205.94 × 166,981.48
  4. Step 4: Simplify right side
    287,908x = 66,326,035,725.99
  5. Step 5: Solve for x
    x = 66,326,035,725.99/287,908
  6. Step 6: Final answer
    x = 230,372.33

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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.