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Finding the Fourth Proportional to 599,879.96, 827,844.20 and 358,183.64

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Solution

The fourth proportional to 599,879.96, 827,844.20 and 358,183.64 is: 494,299.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,879.96 : 827,844.20 = 358,183.64 : x
  2. Step 2: Convert to fraction form
    599,879.96/827,844.20 = 358,183.64/x
  3. Step 3: Cross multiply
    599,879.96x = 827,844.20 × 358,183.64
  4. Step 4: Simplify right side
    599,879.96x = 296,520,248,908.89
  5. Step 5: Solve for x
    x = 296,520,248,908.89/599,879.96
  6. Step 6: Final answer
    x = 494,299.31

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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.