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Finding the Fourth Proportional to 477,524.28, 659,076.94 and 273,711.66

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Solution

The fourth proportional to 477,524.28, 659,076.94 and 273,711.66 is: 377,775.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,524.28 : 659,076.94 = 273,711.66 : x
  2. Step 2: Convert to fraction form
    477,524.28/659,076.94 = 273,711.66/x
  3. Step 3: Cross multiply
    477,524.28x = 659,076.94 × 273,711.66
  4. Step 4: Simplify right side
    477,524.28x = 180,397,043,315.12
  5. Step 5: Solve for x
    x = 180,397,043,315.12/477,524.28
  6. Step 6: Final answer
    x = 377,775.65

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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.