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Finding the Fourth Proportional to 284,363.84, 392,241.86 and 216,231.44

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Solution

The fourth proportional to 284,363.84, 392,241.86 and 216,231.44 is: 298,262.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,363.84 : 392,241.86 = 216,231.44 : x
  2. Step 2: Convert to fraction form
    284,363.84/392,241.86 = 216,231.44/x
  3. Step 3: Cross multiply
    284,363.84x = 392,241.86 × 216,231.44
  4. Step 4: Simplify right side
    284,363.84x = 84,815,022,216.08
  5. Step 5: Solve for x
    x = 84,815,022,216.08/284,363.84
  6. Step 6: Final answer
    x = 298,262.33

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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.