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Finding the Fourth Proportional to 259,997.16, 358,449.12 and 206,459.40

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Solution

The fourth proportional to 259,997.16, 358,449.12 and 206,459.40 is: 284,638.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,997.16 : 358,449.12 = 206,459.40 : x
  2. Step 2: Convert to fraction form
    259,997.16/358,449.12 = 206,459.40/x
  3. Step 3: Cross multiply
    259,997.16x = 358,449.12 × 206,459.40
  4. Step 4: Simplify right side
    259,997.16x = 74,005,190,245.73
  5. Step 5: Solve for x
    x = 74,005,190,245.73/259,997.16
  6. Step 6: Final answer
    x = 284,638.46

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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.