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Finding the Fourth Proportional to 589,958.91, 814,213.22 and 335,348.37

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Solution

The fourth proportional to 589,958.91, 814,213.22 and 335,348.37 is: 462,820.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,958.91 : 814,213.22 = 335,348.37 : x
  2. Step 2: Convert to fraction form
    589,958.91/814,213.22 = 335,348.37/x
  3. Step 3: Cross multiply
    589,958.91x = 814,213.22 × 335,348.37
  4. Step 4: Simplify right side
    589,958.91x = 273,045,074,482.71
  5. Step 5: Solve for x
    x = 273,045,074,482.71/589,958.91
  6. Step 6: Final answer
    x = 462,820.49

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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.