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Finding the Fourth Proportional to 477,908.12, 659,507.97 and 263,043.56

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Solution

The fourth proportional to 477,908.12, 659,507.97 and 263,043.56 is: 362,997.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,908.12 : 659,507.97 = 263,043.56 : x
  2. Step 2: Convert to fraction form
    477,908.12/659,507.97 = 263,043.56/x
  3. Step 3: Cross multiply
    477,908.12x = 659,507.97 × 263,043.56
  4. Step 4: Simplify right side
    477,908.12x = 173,479,324,277.17
  5. Step 5: Solve for x
    x = 173,479,324,277.17/477,908.12
  6. Step 6: Final answer
    x = 362,997.23

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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.