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Finding the Fourth Proportional to 413,204.88, 570,198.78 and 231,899.88

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Solution

The fourth proportional to 413,204.88, 570,198.78 and 231,899.88 is: 320,008.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,204.88 : 570,198.78 = 231,899.88 : x
  2. Step 2: Convert to fraction form
    413,204.88/570,198.78 = 231,899.88/x
  3. Step 3: Cross multiply
    413,204.88x = 570,198.78 × 231,899.88
  4. Step 4: Simplify right side
    413,204.88x = 132,229,028,658.15
  5. Step 5: Solve for x
    x = 132,229,028,658.15/413,204.88
  6. Step 6: Final answer
    x = 320,008.39

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1.5x scale

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.