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Finding the Fourth Proportional to 590,036.52, 814,249.26 and 321,764.52

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Solution

The fourth proportional to 590,036.52, 814,249.26 and 321,764.52 is: 444,034.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,036.52 : 814,249.26 = 321,764.52 : x
  2. Step 2: Convert to fraction form
    590,036.52/814,249.26 = 321,764.52/x
  3. Step 3: Cross multiply
    590,036.52x = 814,249.26 × 321,764.52
  4. Step 4: Simplify right side
    590,036.52x = 261,996,522,304.26
  5. Step 5: Solve for x
    x = 261,996,522,304.26/590,036.52
  6. Step 6: Final answer
    x = 444,034.42

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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.