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Finding the Fourth Proportional to 407,347.56, 610,942.20 and 204,889.68

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Solution

The fourth proportional to 407,347.56, 610,942.20 and 204,889.68 is: 307,294.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,347.56 : 610,942.20 = 204,889.68 : x
  2. Step 2: Convert to fraction form
    407,347.56/610,942.20 = 204,889.68/x
  3. Step 3: Cross multiply
    407,347.56x = 610,942.20 × 204,889.68
  4. Step 4: Simplify right side
    407,347.56x = 125,175,751,856.50
  5. Step 5: Solve for x
    x = 125,175,751,856.50/407,347.56
  6. Step 6: Final answer
    x = 307,294.71

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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.