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Finding the Fourth Proportional to 396,101.64, 546,634.26 and 283,194.12

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Solution

The fourth proportional to 396,101.64, 546,634.26 and 283,194.12 is: 390,817.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,101.64 : 546,634.26 = 283,194.12 : x
  2. Step 2: Convert to fraction form
    396,101.64/546,634.26 = 283,194.12/x
  3. Step 3: Cross multiply
    396,101.64x = 546,634.26 × 283,194.12
  4. Step 4: Simplify right side
    396,101.64x = 154,803,608,222.55
  5. Step 5: Solve for x
    x = 154,803,608,222.55/396,101.64
  6. Step 6: Final answer
    x = 390,817.89

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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.