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Finding the Fourth Proportional to 259,676.16, 389,514.24 and 62,684.16

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Solution

The fourth proportional to 259,676.16, 389,514.24 and 62,684.16 is: 94,026.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,676.16 : 389,514.24 = 62,684.16 : x
  2. Step 2: Convert to fraction form
    259,676.16/389,514.24 = 62,684.16/x
  3. Step 3: Cross multiply
    259,676.16x = 389,514.24 × 62,684.16
  4. Step 4: Simplify right side
    259,676.16x = 24,416,372,942.44
  5. Step 5: Solve for x
    x = 24,416,372,942.44/259,676.16
  6. Step 6: Final answer
    x = 94,026.24

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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.