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Finding the Fourth Proportional to 377,644.86, 521,163.09 and 205,576.97

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Solution

The fourth proportional to 377,644.86, 521,163.09 and 205,576.97 is: 283,703.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,644.86 : 521,163.09 = 205,576.97 : x
  2. Step 2: Convert to fraction form
    377,644.86/521,163.09 = 205,576.97/x
  3. Step 3: Cross multiply
    377,644.86x = 521,163.09 × 205,576.97
  4. Step 4: Simplify right side
    377,644.86x = 107,139,126,312.22
  5. Step 5: Solve for x
    x = 107,139,126,312.22/377,644.86
  6. Step 6: Final answer
    x = 283,703.39

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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.