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Finding the Fourth Proportional to 437,941.80, 656,708.52 and 227,523.24

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Solution

The fourth proportional to 437,941.80, 656,708.52 and 227,523.24 is: 341,178.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,941.80 : 656,708.52 = 227,523.24 : x
  2. Step 2: Convert to fraction form
    437,941.80/656,708.52 = 227,523.24/x
  3. Step 3: Cross multiply
    437,941.80x = 656,708.52 × 227,523.24
  4. Step 4: Simplify right side
    437,941.80x = 149,416,450,206.01
  5. Step 5: Solve for x
    x = 149,416,450,206.01/437,941.80
  6. Step 6: Final answer
    x = 341,178.78

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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.