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Finding the Fourth Proportional to 320,332.50, 441,512.98 and 293,183.22

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Solution

The fourth proportional to 320,332.50, 441,512.98 and 293,183.22 is: 404,093.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,332.50 : 441,512.98 = 293,183.22 : x
  2. Step 2: Convert to fraction form
    320,332.50/441,512.98 = 293,183.22/x
  3. Step 3: Cross multiply
    320,332.50x = 441,512.98 × 293,183.22
  4. Step 4: Simplify right side
    320,332.50x = 129,444,197,148.20
  5. Step 5: Solve for x
    x = 129,444,197,148.20/320,332.50
  6. Step 6: Final answer
    x = 404,093.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.