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Finding the Fourth Proportional to 394,284.54, 544,112.16 and 212,996.40

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Solution

The fourth proportional to 394,284.54, 544,112.16 and 212,996.40 is: 293,934.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,284.54 : 544,112.16 = 212,996.40 : x
  2. Step 2: Convert to fraction form
    394,284.54/544,112.16 = 212,996.40/x
  3. Step 3: Cross multiply
    394,284.54x = 544,112.16 × 212,996.40
  4. Step 4: Simplify right side
    394,284.54x = 115,893,931,276.22
  5. Step 5: Solve for x
    x = 115,893,931,276.22/394,284.54
  6. Step 6: Final answer
    x = 293,934.76

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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.