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Finding the Fourth Proportional to 396,214.65, 594,321.90 and 185,852.58

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Solution

The fourth proportional to 396,214.65, 594,321.90 and 185,852.58 is: 278,778.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,214.65 : 594,321.90 = 185,852.58 : x
  2. Step 2: Convert to fraction form
    396,214.65/594,321.90 = 185,852.58/x
  3. Step 3: Cross multiply
    396,214.65x = 594,321.90 × 185,852.58
  4. Step 4: Simplify right side
    396,214.65x = 110,456,258,465.50
  5. Step 5: Solve for x
    x = 110,456,258,465.50/396,214.65
  6. Step 6: Final answer
    x = 278,778.83

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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.