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Finding the Fourth Proportional to 396,381.06, 546,968.90 and 224,314.72

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Solution

The fourth proportional to 396,381.06, 546,968.90 and 224,314.72 is: 309,533.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,381.06 : 546,968.90 = 224,314.72 : x
  2. Step 2: Convert to fraction form
    396,381.06/546,968.90 = 224,314.72/x
  3. Step 3: Cross multiply
    396,381.06x = 546,968.90 × 224,314.72
  4. Step 4: Simplify right side
    396,381.06x = 122,693,174,845.57
  5. Step 5: Solve for x
    x = 122,693,174,845.57/396,381.06
  6. Step 6: Final answer
    x = 309,533.39

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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.