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Finding the Fourth Proportional to 589,906.91, 814,140.65 and 335,296.37

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Solution

The fourth proportional to 589,906.91, 814,140.65 and 335,296.37 is: 462,748.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,906.91 : 814,140.65 = 335,296.37 : x
  2. Step 2: Convert to fraction form
    589,906.91/814,140.65 = 335,296.37/x
  3. Step 3: Cross multiply
    589,906.91x = 814,140.65 × 335,296.37
  4. Step 4: Simplify right side
    589,906.91x = 272,978,404,614.44
  5. Step 5: Solve for x
    x = 272,978,404,614.44/589,906.91
  6. Step 6: Final answer
    x = 462,748.27

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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.