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Finding the Fourth Proportional to 339,315.46, 508,997.68 and 102,676.80

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Solution

The fourth proportional to 339,315.46, 508,997.68 and 102,676.80 is: 154,022.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,315.46 : 508,997.68 = 102,676.80 : x
  2. Step 2: Convert to fraction form
    339,315.46/508,997.68 = 102,676.80/x
  3. Step 3: Cross multiply
    339,315.46x = 508,997.68 × 102,676.80
  4. Step 4: Simplify right side
    339,315.46x = 52,262,252,989.82
  5. Step 5: Solve for x
    x = 52,262,252,989.82/339,315.46
  6. Step 6: Final answer
    x = 154,022.61

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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.