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Finding the Fourth Proportional to 599,573.14, 827,409.20 and 327,642.71

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Solution

The fourth proportional to 599,573.14, 827,409.20 and 327,642.71 is: 452,145.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,573.14 : 827,409.20 = 327,642.71 : x
  2. Step 2: Convert to fraction form
    599,573.14/827,409.20 = 327,642.71/x
  3. Step 3: Cross multiply
    599,573.14x = 827,409.20 × 327,642.71
  4. Step 4: Simplify right side
    599,573.14x = 271,094,586,791.67
  5. Step 5: Solve for x
    x = 271,094,586,791.67/599,573.14
  6. Step 6: Final answer
    x = 452,145.98

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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.