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Finding the Fourth Proportional to 599,886, 827,842.48 and 327,955.03

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Solution

The fourth proportional to 599,886, 827,842.48 and 327,955.03 is: 452,577.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,886 : 827,842.48 = 327,955.03 : x
  2. Step 2: Convert to fraction form
    599,886/827,842.48 = 327,955.03/x
  3. Step 3: Cross multiply
    599,886x = 827,842.48 × 327,955.03
  4. Step 4: Simplify right side
    599,886x = 271,495,102,474.18
  5. Step 5: Solve for x
    x = 271,495,102,474.18/599,886
  6. Step 6: Final answer
    x = 452,577.83

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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.