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Finding the Fourth Proportional to 590,390.92, 814,729.26 and 335,736.28

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Solution

The fourth proportional to 590,390.92, 814,729.26 and 335,736.28 is: 463,310.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,390.92 : 814,729.26 = 335,736.28 : x
  2. Step 2: Convert to fraction form
    590,390.92/814,729.26 = 335,736.28/x
  3. Step 3: Cross multiply
    590,390.92x = 814,729.26 × 335,736.28
  4. Step 4: Simplify right side
    590,390.92x = 273,534,170,959.55
  5. Step 5: Solve for x
    x = 273,534,170,959.55/590,390.92
  6. Step 6: Final answer
    x = 463,310.26

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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.