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Finding the Fourth Proportional to 396,143.79, 594,205.23 and 111,854.01

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Solution

The fourth proportional to 396,143.79, 594,205.23 and 111,854.01 is: 167,778.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,143.79 : 594,205.23 = 111,854.01 : x
  2. Step 2: Convert to fraction form
    396,143.79/594,205.23 = 111,854.01/x
  3. Step 3: Cross multiply
    396,143.79x = 594,205.23 × 111,854.01
  4. Step 4: Simplify right side
    396,143.79x = 66,464,237,738.47
  5. Step 5: Solve for x
    x = 66,464,237,738.47/396,143.79
  6. Step 6: Final answer
    x = 167,778.06

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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.