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Finding the Fourth Proportional to 327,886.58, 491,827.14 and 91,228.58

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Solution

The fourth proportional to 327,886.58, 491,827.14 and 91,228.58 is: 136,842.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,886.58 : 491,827.14 = 91,228.58 : x
  2. Step 2: Convert to fraction form
    327,886.58/491,827.14 = 91,228.58/x
  3. Step 3: Cross multiply
    327,886.58x = 491,827.14 × 91,228.58
  4. Step 4: Simplify right side
    327,886.58x = 44,868,691,587.66
  5. Step 5: Solve for x
    x = 44,868,691,587.66/327,886.58
  6. Step 6: Final answer
    x = 136,842.11

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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.