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Finding the Fourth Proportional to 396,086.33, 546,599.41 and 214,798.21

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Solution

The fourth proportional to 396,086.33, 546,599.41 and 214,798.21 is: 296,421.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,086.33 : 546,599.41 = 214,798.21 : x
  2. Step 2: Convert to fraction form
    396,086.33/546,599.41 = 214,798.21/x
  3. Step 3: Cross multiply
    396,086.33x = 546,599.41 × 214,798.21
  4. Step 4: Simplify right side
    396,086.33x = 117,408,572,951.56
  5. Step 5: Solve for x
    x = 117,408,572,951.56/396,086.33
  6. Step 6: Final answer
    x = 296,421.67

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1.5x scale

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.