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Finding the Fourth Proportional to 287,461.44, 430,993.26 and 127,449.96

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Solution

The fourth proportional to 287,461.44, 430,993.26 and 127,449.96 is: 191,086.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,461.44 : 430,993.26 = 127,449.96 : x
  2. Step 2: Convert to fraction form
    287,461.44/430,993.26 = 127,449.96/x
  3. Step 3: Cross multiply
    287,461.44x = 430,993.26 × 127,449.96
  4. Step 4: Simplify right side
    287,461.44x = 54,930,073,747.27
  5. Step 5: Solve for x
    x = 54,930,073,747.27/287,461.44
  6. Step 6: Final answer
    x = 191,086.75

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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.