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Finding the Fourth Proportional to 451,676.40, 677,514.60 and 185,348.40

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Solution

The fourth proportional to 451,676.40, 677,514.60 and 185,348.40 is: 278,022.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,676.40 : 677,514.60 = 185,348.40 : x
  2. Step 2: Convert to fraction form
    451,676.40/677,514.60 = 185,348.40/x
  3. Step 3: Cross multiply
    451,676.40x = 677,514.60 × 185,348.40
  4. Step 4: Simplify right side
    451,676.40x = 125,576,247,086.64
  5. Step 5: Solve for x
    x = 125,576,247,086.64/451,676.40
  6. Step 6: Final answer
    x = 278,022.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.