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Finding the Fourth Proportional to 287,338.72, 430,974.84 and 76,993.60

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Solution

The fourth proportional to 287,338.72, 430,974.84 and 76,993.60 is: 115,481.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,338.72 : 430,974.84 = 76,993.60 : x
  2. Step 2: Convert to fraction form
    287,338.72/430,974.84 = 76,993.60/x
  3. Step 3: Cross multiply
    287,338.72x = 430,974.84 × 76,993.60
  4. Step 4: Simplify right side
    287,338.72x = 33,182,304,441.02
  5. Step 5: Solve for x
    x = 33,182,304,441.02/287,338.72
  6. Step 6: Final answer
    x = 115,481.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.