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Finding the Fourth Proportional to 354,835.44, 532,361.43 and 212,838.39

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Solution

The fourth proportional to 354,835.44, 532,361.43 and 212,838.39 is: 319,322.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,835.44 : 532,361.43 = 212,838.39 : x
  2. Step 2: Convert to fraction form
    354,835.44/532,361.43 = 212,838.39/x
  3. Step 3: Cross multiply
    354,835.44x = 532,361.43 × 212,838.39
  4. Step 4: Simplify right side
    354,835.44x = 113,306,949,659.30
  5. Step 5: Solve for x
    x = 113,306,949,659.30/354,835.44
  6. Step 6: Final answer
    x = 319,322.53

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Why These Related Problems?

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