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Finding the Fourth Proportional to 408,206.94, 563,600.44 and 365,052.56

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Solution

The fourth proportional to 408,206.94, 563,600.44 and 365,052.56 is: 504,018.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,206.94 : 563,600.44 = 365,052.56 : x
  2. Step 2: Convert to fraction form
    408,206.94/563,600.44 = 365,052.56/x
  3. Step 3: Cross multiply
    408,206.94x = 563,600.44 × 365,052.56
  4. Step 4: Simplify right side
    408,206.94x = 205,743,783,439.13
  5. Step 5: Solve for x
    x = 205,743,783,439.13/408,206.94
  6. Step 6: Final answer
    x = 504,018.34

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Why These Related Problems?

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