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Finding the Fourth Proportional to 801,832, 1,202,819.04 and 210,856

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Solution

The fourth proportional to 801,832, 1,202,819.04 and 210,856 is: 316,302.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    801,832 : 1,202,819.04 = 210,856 : x
  2. Step 2: Convert to fraction form
    801,832/1,202,819.04 = 210,856/x
  3. Step 3: Cross multiply
    801,832x = 1,202,819.04 × 210,856
  4. Step 4: Simplify right side
    801,832x = 253,621,611,498.24
  5. Step 5: Solve for x
    x = 253,621,611,498.24/801,832
  6. Step 6: Final answer
    x = 316,302.68

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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.