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Finding the Fourth Proportional to 396,112.84, 546,636 and 214,824.76

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Solution

The fourth proportional to 396,112.84, 546,636 and 214,824.76 is: 296,458.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,112.84 : 546,636 = 214,824.76 : x
  2. Step 2: Convert to fraction form
    396,112.84/546,636 = 214,824.76/x
  3. Step 3: Cross multiply
    396,112.84x = 546,636 × 214,824.76
  4. Step 4: Simplify right side
    396,112.84x = 117,430,947,507.36
  5. Step 5: Solve for x
    x = 117,430,947,507.36/396,112.84
  6. Step 6: Final answer
    x = 296,458.32

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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.