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Finding the Fourth Proportional to 599,780.10, 827,696.55 and 327,849.06

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Solution

The fourth proportional to 599,780.10, 827,696.55 and 327,849.06 is: 452,431.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,780.10 : 827,696.55 = 327,849.06 : x
  2. Step 2: Convert to fraction form
    599,780.10/827,696.55 = 327,849.06/x
  3. Step 3: Cross multiply
    599,780.10x = 827,696.55 × 327,849.06
  4. Step 4: Simplify right side
    599,780.10x = 271,359,535,882.74
  5. Step 5: Solve for x
    x = 271,359,535,882.74/599,780.10
  6. Step 6: Final answer
    x = 452,431.71

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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.