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Finding the Fourth Proportional to 275,812.80, 413,669.88 and 73,410

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Solution

The fourth proportional to 275,812.80, 413,669.88 and 73,410 is: 110,101.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,812.80 : 413,669.88 = 73,410 : x
  2. Step 2: Convert to fraction form
    275,812.80/413,669.88 = 73,410/x
  3. Step 3: Cross multiply
    275,812.80x = 413,669.88 × 73,410
  4. Step 4: Simplify right side
    275,812.80x = 30,367,505,890.80
  5. Step 5: Solve for x
    x = 30,367,505,890.80/275,812.80
  6. Step 6: Final answer
    x = 110,101.87

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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.