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Finding the Fourth Proportional to 475,475.85, 713,847.24 and 275,939.46

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Solution

The fourth proportional to 475,475.85, 713,847.24 and 275,939.46 is: 414,276.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,475.85 : 713,847.24 = 275,939.46 : x
  2. Step 2: Convert to fraction form
    475,475.85/713,847.24 = 275,939.46/x
  3. Step 3: Cross multiply
    475,475.85x = 713,847.24 × 275,939.46
  4. Step 4: Simplify right side
    475,475.85x = 196,978,621,928.09
  5. Step 5: Solve for x
    x = 196,978,621,928.09/475,475.85
  6. Step 6: Final answer
    x = 414,276.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.