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Finding the Fourth Proportional to 437,536.80, 656,305.20 and 295,819.20

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Solution

The fourth proportional to 437,536.80, 656,305.20 and 295,819.20 is: 443,728.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,536.80 : 656,305.20 = 295,819.20 : x
  2. Step 2: Convert to fraction form
    437,536.80/656,305.20 = 295,819.20/x
  3. Step 3: Cross multiply
    437,536.80x = 656,305.20 × 295,819.20
  4. Step 4: Simplify right side
    437,536.80x = 194,147,679,219.84
  5. Step 5: Solve for x
    x = 194,147,679,219.84/437,536.80
  6. Step 6: Final answer
    x = 443,728.80

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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.