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Finding the Fourth Proportional to 589,884.66, 814,109.94 and 335,274.12

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Solution

The fourth proportional to 589,884.66, 814,109.94 and 335,274.12 is: 462,717.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,884.66 : 814,109.94 = 335,274.12 : x
  2. Step 2: Convert to fraction form
    589,884.66/814,109.94 = 335,274.12/x
  3. Step 3: Cross multiply
    589,884.66x = 814,109.94 × 335,274.12
  4. Step 4: Simplify right side
    589,884.66x = 272,949,993,716.75
  5. Step 5: Solve for x
    x = 272,949,993,716.75/589,884.66
  6. Step 6: Final answer
    x = 462,717.57

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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.