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Finding the Fourth Proportional to 431,496.10, 647,243.24 and 115,953.01

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Solution

The fourth proportional to 431,496.10, 647,243.24 and 115,953.01 is: 173,929.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,496.10 : 647,243.24 = 115,953.01 : x
  2. Step 2: Convert to fraction form
    431,496.10/647,243.24 = 115,953.01/x
  3. Step 3: Cross multiply
    431,496.10x = 647,243.24 × 115,953.01
  4. Step 4: Simplify right side
    431,496.10x = 75,049,801,880.15
  5. Step 5: Solve for x
    x = 75,049,801,880.15/431,496.10
  6. Step 6: Final answer
    x = 173,929.27

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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.