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Finding the Fourth Proportional to 396,076.37, 546,585.51 and 214,788.24

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Solution

The fourth proportional to 396,076.37, 546,585.51 and 214,788.24 is: 296,407.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,076.37 : 546,585.51 = 214,788.24 : x
  2. Step 2: Convert to fraction form
    396,076.37/546,585.51 = 214,788.24/x
  3. Step 3: Cross multiply
    396,076.37x = 546,585.51 × 214,788.24
  4. Step 4: Simplify right side
    396,076.37x = 117,400,139,702.40
  5. Step 5: Solve for x
    x = 117,400,139,702.40/396,076.37
  6. Step 6: Final answer
    x = 296,407.84

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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.