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Finding the Fourth Proportional to 488,977.59, 733,752.33 and 204,644.37

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Solution

The fourth proportional to 488,977.59, 733,752.33 and 204,644.37 is: 307,086.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,977.59 : 733,752.33 = 204,644.37 : x
  2. Step 2: Convert to fraction form
    488,977.59/733,752.33 = 204,644.37/x
  3. Step 3: Cross multiply
    488,977.59x = 733,752.33 × 204,644.37
  4. Step 4: Simplify right side
    488,977.59x = 150,158,283,308.88
  5. Step 5: Solve for x
    x = 150,158,283,308.88/488,977.59
  6. Step 6: Final answer
    x = 307,086.23

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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.