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Finding the Fourth Proportional to 287,983.20, 431,845.20 and 110,431.20

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Solution

The fourth proportional to 287,983.20, 431,845.20 and 110,431.20 is: 165,597.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,983.20 : 431,845.20 = 110,431.20 : x
  2. Step 2: Convert to fraction form
    287,983.20/431,845.20 = 110,431.20/x
  3. Step 3: Cross multiply
    287,983.20x = 431,845.20 × 110,431.20
  4. Step 4: Simplify right side
    287,983.20x = 47,689,183,650.24
  5. Step 5: Solve for x
    x = 47,689,183,650.24/287,983.20
  6. Step 6: Final answer
    x = 165,597.10

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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.