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Finding the Fourth Proportional to 396,261.54, 546,711.72 and 224,162.82

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Solution

The fourth proportional to 396,261.54, 546,711.72 and 224,162.82 is: 309,271.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,261.54 : 546,711.72 = 224,162.82 : x
  2. Step 2: Convert to fraction form
    396,261.54/546,711.72 = 224,162.82/x
  3. Step 3: Cross multiply
    396,261.54x = 546,711.72 × 224,162.82
  4. Step 4: Simplify right side
    396,261.54x = 122,552,440,882.25
  5. Step 5: Solve for x
    x = 122,552,440,882.25/396,261.54
  6. Step 6: Final answer
    x = 309,271.60

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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.