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Finding the Fourth Proportional to 321,594.44, 482,391.65 and 111,117.56

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Solution

The fourth proportional to 321,594.44, 482,391.65 and 111,117.56 is: 166,676.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,594.44 : 482,391.65 = 111,117.56 : x
  2. Step 2: Convert to fraction form
    321,594.44/482,391.65 = 111,117.56/x
  3. Step 3: Cross multiply
    321,594.44x = 482,391.65 × 111,117.56
  4. Step 4: Simplify right side
    321,594.44x = 53,602,180,978.21
  5. Step 5: Solve for x
    x = 53,602,180,978.21/321,594.44
  6. Step 6: Final answer
    x = 166,676.33

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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.