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Finding the Fourth Proportional to 396,106.14, 546,640.47 and 283,198.62

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Solution

The fourth proportional to 396,106.14, 546,640.47 and 283,198.62 is: 390,824.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,106.14 : 546,640.47 = 283,198.62 : x
  2. Step 2: Convert to fraction form
    396,106.14/546,640.47 = 283,198.62/x
  3. Step 3: Cross multiply
    396,106.14x = 546,640.47 × 283,198.62
  4. Step 4: Simplify right side
    396,106.14x = 154,807,826,740.15
  5. Step 5: Solve for x
    x = 154,807,826,740.15/396,106.14
  6. Step 6: Final answer
    x = 390,824.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.