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Finding the Fourth Proportional to 422,329.86, 632,022.13 and 345,540.94

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Solution

The fourth proportional to 422,329.86, 632,022.13 and 345,540.94 is: 517,106.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,329.86 : 632,022.13 = 345,540.94 : x
  2. Step 2: Convert to fraction form
    422,329.86/632,022.13 = 345,540.94/x
  3. Step 3: Cross multiply
    422,329.86x = 632,022.13 × 345,540.94
  4. Step 4: Simplify right side
    422,329.86x = 218,389,520,901.00
  5. Step 5: Solve for x
    x = 218,389,520,901.00/422,329.86
  6. Step 6: Final answer
    x = 517,106.51

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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.