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Finding the Fourth Proportional to 576,982.26, 796,266 and 347,611.76

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Solution

The fourth proportional to 576,982.26, 796,266 and 347,611.76 is: 479,722.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,982.26 : 796,266 = 347,611.76 : x
  2. Step 2: Convert to fraction form
    576,982.26/796,266 = 347,611.76/x
  3. Step 3: Cross multiply
    576,982.26x = 796,266 × 347,611.76
  4. Step 4: Simplify right side
    576,982.26x = 276,791,425,688.16
  5. Step 5: Solve for x
    x = 276,791,425,688.16/576,982.26
  6. Step 6: Final answer
    x = 479,722.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.