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Finding the Fourth Proportional to 590,409.80, 814,698.24 and 332,236.88

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Solution

The fourth proportional to 590,409.80, 814,698.24 and 332,236.88 is: 458,449.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,409.80 : 814,698.24 = 332,236.88 : x
  2. Step 2: Convert to fraction form
    590,409.80/814,698.24 = 332,236.88/x
  3. Step 3: Cross multiply
    590,409.80x = 814,698.24 × 332,236.88
  4. Step 4: Simplify right side
    590,409.80x = 270,672,801,399.09
  5. Step 5: Solve for x
    x = 270,672,801,399.09/590,409.80
  6. Step 6: Final answer
    x = 458,449.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.