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Finding the Fourth Proportional to 599,556.96, 827,390.75 and 327,624.86

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Solution

The fourth proportional to 599,556.96, 827,390.75 and 327,624.86 is: 452,123.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,556.96 : 827,390.75 = 327,624.86 : x
  2. Step 2: Convert to fraction form
    599,556.96/827,390.75 = 327,624.86/x
  3. Step 3: Cross multiply
    599,556.96x = 827,390.75 × 327,624.86
  4. Step 4: Simplify right side
    599,556.96x = 271,073,772,858.97
  5. Step 5: Solve for x
    x = 271,073,772,858.97/599,556.96
  6. Step 6: Final answer
    x = 452,123.47

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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.