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Finding the Fourth Proportional to 396,459.50, 546,865.26 and 235,200.38

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Solution

The fourth proportional to 396,459.50, 546,865.26 and 235,200.38 is: 324,428.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,459.50 : 546,865.26 = 235,200.38 : x
  2. Step 2: Convert to fraction form
    396,459.50/546,865.26 = 235,200.38/x
  3. Step 3: Cross multiply
    396,459.50x = 546,865.26 × 235,200.38
  4. Step 4: Simplify right side
    396,459.50x = 128,622,913,344.47
  5. Step 5: Solve for x
    x = 128,622,913,344.47/396,459.50
  6. Step 6: Final answer
    x = 324,428.89

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Why These Related Problems?

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