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Finding the Fourth Proportional to 433,403.78, 650,174.92 and 133,813.94

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Solution

The fourth proportional to 433,403.78, 650,174.92 and 133,813.94 is: 200,742.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,403.78 : 650,174.92 = 133,813.94 : x
  2. Step 2: Convert to fraction form
    433,403.78/650,174.92 = 133,813.94/x
  3. Step 3: Cross multiply
    433,403.78x = 650,174.92 × 133,813.94
  4. Step 4: Simplify right side
    433,403.78x = 87,002,464,148.98
  5. Step 5: Solve for x
    x = 87,002,464,148.98/433,403.78
  6. Step 6: Final answer
    x = 200,742.29

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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.