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Finding the Fourth Proportional to 477,504, 659,049.11 and 273,691.53

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Solution

The fourth proportional to 477,504, 659,049.11 and 273,691.53 is: 377,747.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,504 : 659,049.11 = 273,691.53 : x
  2. Step 2: Convert to fraction form
    477,504/659,049.11 = 273,691.53/x
  3. Step 3: Cross multiply
    477,504x = 659,049.11 × 273,691.53
  4. Step 4: Simplify right side
    477,504x = 180,376,158,918.92
  5. Step 5: Solve for x
    x = 180,376,158,918.92/477,504
  6. Step 6: Final answer
    x = 377,747.95

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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.