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Finding the Fourth Proportional to 463,584.36, 639,739.44 and 259,634.46

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Solution

The fourth proportional to 463,584.36, 639,739.44 and 259,634.46 is: 358,291.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,584.36 : 639,739.44 = 259,634.46 : x
  2. Step 2: Convert to fraction form
    463,584.36/639,739.44 = 259,634.46/x
  3. Step 3: Cross multiply
    463,584.36x = 639,739.44 × 259,634.46
  4. Step 4: Simplify right side
    463,584.36x = 166,098,404,045.10
  5. Step 5: Solve for x
    x = 166,098,404,045.10/463,584.36
  6. Step 6: Final answer
    x = 358,291.65

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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.