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Finding the Fourth Proportional to 589,959.91, 814,214.60 and 335,349.37

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Solution

The fourth proportional to 589,959.91, 814,214.60 and 335,349.37 is: 462,821.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,959.91 : 814,214.60 = 335,349.37 : x
  2. Step 2: Convert to fraction form
    589,959.91/814,214.60 = 335,349.37/x
  3. Step 3: Cross multiply
    589,959.91x = 814,214.60 × 335,349.37
  4. Step 4: Simplify right side
    589,959.91x = 273,046,353,154.80
  5. Step 5: Solve for x
    x = 273,046,353,154.80/589,959.91
  6. Step 6: Final answer
    x = 462,821.88

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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.