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Finding the Fourth Proportional to 294,097.75, 441,146.63 and 72,481.75

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Solution

The fourth proportional to 294,097.75, 441,146.63 and 72,481.75 is: 108,722.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,097.75 : 441,146.63 = 72,481.75 : x
  2. Step 2: Convert to fraction form
    294,097.75/441,146.63 = 72,481.75/x
  3. Step 3: Cross multiply
    294,097.75x = 441,146.63 × 72,481.75
  4. Step 4: Simplify right side
    294,097.75x = 31,975,079,749.00
  5. Step 5: Solve for x
    x = 31,975,079,749.00/294,097.75
  6. Step 6: Final answer
    x = 108,722.63

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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.