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Finding the Fourth Proportional to 597,090.31, 823,976.43 and 338,965

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Solution

The fourth proportional to 597,090.31, 823,976.43 and 338,965 is: 467,767.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,090.31 : 823,976.43 = 338,965 : x
  2. Step 2: Convert to fraction form
    597,090.31/823,976.43 = 338,965/x
  3. Step 3: Cross multiply
    597,090.31x = 823,976.43 × 338,965
  4. Step 4: Simplify right side
    597,090.31x = 279,299,170,594.95
  5. Step 5: Solve for x
    x = 279,299,170,594.95/597,090.31
  6. Step 6: Final answer
    x = 467,767.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.