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Finding the Fourth Proportional to 589,892.54, 814,120.94 and 335,282.00

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Solution

The fourth proportional to 589,892.54, 814,120.94 and 335,282.00 is: 462,728.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,892.54 : 814,120.94 = 335,282.00 : x
  2. Step 2: Convert to fraction form
    589,892.54/814,120.94 = 335,282.00/x
  3. Step 3: Cross multiply
    589,892.54x = 814,120.94 × 335,282.00
  4. Step 4: Simplify right side
    589,892.54x = 272,960,093,772.68
  5. Step 5: Solve for x
    x = 272,960,093,772.68/589,892.54
  6. Step 6: Final answer
    x = 462,728.51

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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.