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Finding the Fourth Proportional to 463,843.28, 695,586.72 and 164,268.56

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Solution

The fourth proportional to 463,843.28, 695,586.72 and 164,268.56 is: 246,339.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,843.28 : 695,586.72 = 164,268.56 : x
  2. Step 2: Convert to fraction form
    463,843.28/695,586.72 = 164,268.56/x
  3. Step 3: Cross multiply
    463,843.28x = 695,586.72 × 164,268.56
  4. Step 4: Simplify right side
    463,843.28x = 114,263,028,849.52
  5. Step 5: Solve for x
    x = 114,263,028,849.52/463,843.28
  6. Step 6: Final answer
    x = 246,339.73

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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.