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Finding the Fourth Proportional to 417,887.42, 576,668.46 and 226,896.44

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Solution

The fourth proportional to 417,887.42, 576,668.46 and 226,896.44 is: 313,108.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,887.42 : 576,668.46 = 226,896.44 : x
  2. Step 2: Convert to fraction form
    417,887.42/576,668.46 = 226,896.44/x
  3. Step 3: Cross multiply
    417,887.42x = 576,668.46 × 226,896.44
  4. Step 4: Simplify right side
    417,887.42x = 130,844,017,750.94
  5. Step 5: Solve for x
    x = 130,844,017,750.94/417,887.42
  6. Step 6: Final answer
    x = 313,108.30

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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.