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Finding the Fourth Proportional to 458,182.44, 687,182.94 and 154,546.56

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Solution

The fourth proportional to 458,182.44, 687,182.94 and 154,546.56 is: 231,789.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,182.44 : 687,182.94 = 154,546.56 : x
  2. Step 2: Convert to fraction form
    458,182.44/687,182.94 = 154,546.56/x
  3. Step 3: Cross multiply
    458,182.44x = 687,182.94 × 154,546.56
  4. Step 4: Simplify right side
    458,182.44x = 106,201,759,467.69
  5. Step 5: Solve for x
    x = 106,201,759,467.69/458,182.44
  6. Step 6: Final answer
    x = 231,789.24

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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.