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Finding the Fourth Proportional to 358,231.84, 494,364.06 and 205,267

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Solution

The fourth proportional to 358,231.84, 494,364.06 and 205,267 is: 283,270.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,231.84 : 494,364.06 = 205,267 : x
  2. Step 2: Convert to fraction form
    358,231.84/494,364.06 = 205,267/x
  3. Step 3: Cross multiply
    358,231.84x = 494,364.06 × 205,267
  4. Step 4: Simplify right side
    358,231.84x = 101,476,627,504.02
  5. Step 5: Solve for x
    x = 101,476,627,504.02/358,231.84
  6. Step 6: Final answer
    x = 283,270.82

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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.