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Finding the Fourth Proportional to 802,102.92, 1,203,742.44 and 646,213.56

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Solution

The fourth proportional to 802,102.92, 1,203,742.44 and 646,213.56 is: 969,794.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,102.92 : 1,203,742.44 = 646,213.56 : x
  2. Step 2: Convert to fraction form
    802,102.92/1,203,742.44 = 646,213.56/x
  3. Step 3: Cross multiply
    802,102.92x = 1,203,742.44 × 646,213.56
  4. Step 4: Simplify right side
    802,102.92x = 777,874,687,475.49
  5. Step 5: Solve for x
    x = 777,874,687,475.49/802,102.92
  6. Step 6: Final answer
    x = 969,794.11

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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.