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Finding the Fourth Proportional to 463,396.20, 639,540.63 and 282,214.32

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Solution

The fourth proportional to 463,396.20, 639,540.63 and 282,214.32 is: 389,488.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,396.20 : 639,540.63 = 282,214.32 : x
  2. Step 2: Convert to fraction form
    463,396.20/639,540.63 = 282,214.32/x
  3. Step 3: Cross multiply
    463,396.20x = 639,540.63 × 282,214.32
  4. Step 4: Simplify right side
    463,396.20x = 180,487,524,007.82
  5. Step 5: Solve for x
    x = 180,487,524,007.82/463,396.20
  6. Step 6: Final answer
    x = 389,488.57

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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.