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Finding the Fourth Proportional to 396,438.01, 547,076.64 and 224,352.76

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Solution

The fourth proportional to 396,438.01, 547,076.64 and 224,352.76 is: 309,602.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,438.01 : 547,076.64 = 224,352.76 : x
  2. Step 2: Convert to fraction form
    396,438.01/547,076.64 = 224,352.76/x
  3. Step 3: Cross multiply
    396,438.01x = 547,076.64 × 224,352.76
  4. Step 4: Simplify right side
    396,438.01x = 122,738,154,115.53
  5. Step 5: Solve for x
    x = 122,738,154,115.53/396,438.01
  6. Step 6: Final answer
    x = 309,602.39

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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.