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Finding the Fourth Proportional to 463,108.28, 639,116.34 and 259,157.42

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Solution

The fourth proportional to 463,108.28, 639,116.34 and 259,157.42 is: 357,652.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,108.28 : 639,116.34 = 259,157.42 : x
  2. Step 2: Convert to fraction form
    463,108.28/639,116.34 = 259,157.42/x
  3. Step 3: Cross multiply
    463,108.28x = 639,116.34 × 259,157.42
  4. Step 4: Simplify right side
    463,108.28x = 165,631,741,754.24
  5. Step 5: Solve for x
    x = 165,631,741,754.24/463,108.28
  6. Step 6: Final answer
    x = 357,652.30

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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.