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Finding the Fourth Proportional to 354,917, 532,113.06 and 214,644.44

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Solution

The fourth proportional to 354,917, 532,113.06 and 214,644.44 is: 321,807.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,917 : 532,113.06 = 214,644.44 : x
  2. Step 2: Convert to fraction form
    354,917/532,113.06 = 214,644.44/x
  3. Step 3: Cross multiply
    354,917x = 532,113.06 × 214,644.44
  4. Step 4: Simplify right side
    354,917x = 114,215,109,780.39
  5. Step 5: Solve for x
    x = 114,215,109,780.39/354,917
  6. Step 6: Final answer
    x = 321,807.94

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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.