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Finding the Fourth Proportional to 433,398.26, 650,125.94 and 113,557.97

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Solution

The fourth proportional to 433,398.26, 650,125.94 and 113,557.97 is: 170,344.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,398.26 : 650,125.94 = 113,557.97 : x
  2. Step 2: Convert to fraction form
    433,398.26/650,125.94 = 113,557.97/x
  3. Step 3: Cross multiply
    433,398.26x = 650,125.94 × 113,557.97
  4. Step 4: Simplify right side
    433,398.26x = 73,826,983,048.27
  5. Step 5: Solve for x
    x = 73,826,983,048.27/433,398.26
  6. Step 6: Final answer
    x = 170,344.44

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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.