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Finding the Fourth Proportional to 327,804.64, 491,542.24 and 191,071.68

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Solution

The fourth proportional to 327,804.64, 491,542.24 and 191,071.68 is: 286,511.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,804.64 : 491,542.24 = 191,071.68 : x
  2. Step 2: Convert to fraction form
    327,804.64/491,542.24 = 191,071.68/x
  3. Step 3: Cross multiply
    327,804.64x = 491,542.24 × 191,071.68
  4. Step 4: Simplify right side
    327,804.64x = 93,919,801,587.76
  5. Step 5: Solve for x
    x = 93,919,801,587.76/327,804.64
  6. Step 6: Final answer
    x = 286,511.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.