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Finding the Fourth Proportional to 441,840, 662,142.21 and 238,998.23

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Solution

The fourth proportional to 441,840, 662,142.21 and 238,998.23 is: 358,163.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,840 : 662,142.21 = 238,998.23 : x
  2. Step 2: Convert to fraction form
    441,840/662,142.21 = 238,998.23/x
  3. Step 3: Cross multiply
    441,840x = 662,142.21 × 238,998.23
  4. Step 4: Simplify right side
    441,840x = 158,250,812,887.58
  5. Step 5: Solve for x
    x = 158,250,812,887.58/441,840
  6. Step 6: Final answer
    x = 358,163.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.