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Finding the Fourth Proportional to 463,194.37, 639,163.06 and 259,233.13

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Solution

The fourth proportional to 463,194.37, 639,163.06 and 259,233.13 is: 357,716.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,194.37 : 639,163.06 = 259,233.13 : x
  2. Step 2: Convert to fraction form
    463,194.37/639,163.06 = 259,233.13/x
  3. Step 3: Cross multiply
    463,194.37x = 639,163.06 × 259,233.13
  4. Step 4: Simplify right side
    463,194.37x = 165,692,240,624.18
  5. Step 5: Solve for x
    x = 165,692,240,624.18/463,194.37
  6. Step 6: Final answer
    x = 357,716.44

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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.