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Finding the Fourth Proportional to 597,115.74, 823,982.34 and 328,843.74

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Solution

The fourth proportional to 597,115.74, 823,982.34 and 328,843.74 is: 453,783.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,115.74 : 823,982.34 = 328,843.74 : x
  2. Step 2: Convert to fraction form
    597,115.74/823,982.34 = 328,843.74/x
  3. Step 3: Cross multiply
    597,115.74x = 823,982.34 × 328,843.74
  4. Step 4: Simplify right side
    597,115.74x = 270,961,434,379.55
  5. Step 5: Solve for x
    x = 270,961,434,379.55/597,115.74
  6. Step 6: Final answer
    x = 453,783.77

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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.