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Finding the Fourth Proportional to 275,438.50, 413,226.87 and 78,446.50

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Solution

The fourth proportional to 275,438.50, 413,226.87 and 78,446.50 is: 117,689.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,438.50 : 413,226.87 = 78,446.50 : x
  2. Step 2: Convert to fraction form
    275,438.50/413,226.87 = 78,446.50/x
  3. Step 3: Cross multiply
    275,438.50x = 413,226.87 × 78,446.50
  4. Step 4: Simplify right side
    275,438.50x = 32,416,201,657.46
  5. Step 5: Solve for x
    x = 32,416,201,657.46/275,438.50
  6. Step 6: Final answer
    x = 117,689.44

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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.