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Finding the Fourth Proportional to 437,708.80, 656,563.20 and 227,756.80

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Solution

The fourth proportional to 437,708.80, 656,563.20 and 227,756.80 is: 341,635.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,708.80 : 656,563.20 = 227,756.80 : x
  2. Step 2: Convert to fraction form
    437,708.80/656,563.20 = 227,756.80/x
  3. Step 3: Cross multiply
    437,708.80x = 656,563.20 × 227,756.80
  4. Step 4: Simplify right side
    437,708.80x = 149,536,733,429.76
  5. Step 5: Solve for x
    x = 149,536,733,429.76/437,708.80
  6. Step 6: Final answer
    x = 341,635.20

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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.