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Finding the Fourth Proportional to 362,713.28, 543,043.36 and 277,226.16

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Solution

The fourth proportional to 362,713.28, 543,043.36 and 277,226.16 is: 415,054.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,713.28 : 543,043.36 = 277,226.16 : x
  2. Step 2: Convert to fraction form
    362,713.28/543,043.36 = 277,226.16/x
  3. Step 3: Cross multiply
    362,713.28x = 543,043.36 × 277,226.16
  4. Step 4: Simplify right side
    362,713.28x = 150,545,825,406.30
  5. Step 5: Solve for x
    x = 150,545,825,406.30/362,713.28
  6. Step 6: Final answer
    x = 415,054.63

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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.