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Finding the Fourth Proportional to 396,461, 546,867.32 and 235,201.88

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Solution

The fourth proportional to 396,461, 546,867.32 and 235,201.88 is: 324,430.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,461 : 546,867.32 = 235,201.88 : x
  2. Step 2: Convert to fraction form
    396,461/546,867.32 = 235,201.88/x
  3. Step 3: Cross multiply
    396,461x = 546,867.32 × 235,201.88
  4. Step 4: Simplify right side
    396,461x = 128,624,221,774.56
  5. Step 5: Solve for x
    x = 128,624,221,774.56/396,461
  6. Step 6: Final answer
    x = 324,430.96

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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.