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Finding the Fourth Proportional to 420,705.96, 580,619.93 and 259,556.87

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Solution

The fourth proportional to 420,705.96, 580,619.93 and 259,556.87 is: 358,216.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,705.96 : 580,619.93 = 259,556.87 : x
  2. Step 2: Convert to fraction form
    420,705.96/580,619.93 = 259,556.87/x
  3. Step 3: Cross multiply
    420,705.96x = 580,619.93 × 259,556.87
  4. Step 4: Simplify right side
    420,705.96x = 150,703,889,436.21
  5. Step 5: Solve for x
    x = 150,703,889,436.21/420,705.96
  6. Step 6: Final answer
    x = 358,216.67

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