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Finding the Fourth Proportional to 802,103.92, 1,203,743.94 and 646,214.56

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Solution

The fourth proportional to 802,103.92, 1,203,743.94 and 646,214.56 is: 969,795.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,103.92 : 1,203,743.94 = 646,214.56 : x
  2. Step 2: Convert to fraction form
    802,103.92/1,203,743.94 = 646,214.56/x
  3. Step 3: Cross multiply
    802,103.92x = 1,203,743.94 × 646,214.56
  4. Step 4: Simplify right side
    802,103.92x = 777,876,860,539.77
  5. Step 5: Solve for x
    x = 777,876,860,539.77/802,103.92
  6. Step 6: Final answer
    x = 969,795.61

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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.