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Finding the Fourth Proportional to 597,029.20, 823,899 and 325,092.88

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Solution

The fourth proportional to 597,029.20, 823,899 and 325,092.88 is: 448,627.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,029.20 : 823,899 = 325,092.88 : x
  2. Step 2: Convert to fraction form
    597,029.20/823,899 = 325,092.88/x
  3. Step 3: Cross multiply
    597,029.20x = 823,899 × 325,092.88
  4. Step 4: Simplify right side
    597,029.20x = 267,843,698,739.12
  5. Step 5: Solve for x
    x = 267,843,698,739.12/597,029.20
  6. Step 6: Final answer
    x = 448,627.47

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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.