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Finding the Fourth Proportional to 511,676.27, 767,691.39 and 174,953.96

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Solution

The fourth proportional to 511,676.27, 767,691.39 and 174,953.96 is: 262,491.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,676.27 : 767,691.39 = 174,953.96 : x
  2. Step 2: Convert to fraction form
    511,676.27/767,691.39 = 174,953.96/x
  3. Step 3: Cross multiply
    511,676.27x = 767,691.39 × 174,953.96
  4. Step 4: Simplify right side
    511,676.27x = 134,310,647,450.75
  5. Step 5: Solve for x
    x = 134,310,647,450.75/511,676.27
  6. Step 6: Final answer
    x = 262,491.45

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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.