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Finding the Fourth Proportional to 413,213.12, 570,238.34 and 231,921.42

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Solution

The fourth proportional to 413,213.12, 570,238.34 and 231,921.42 is: 320,053.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,213.12 : 570,238.34 = 231,921.42 : x
  2. Step 2: Convert to fraction form
    413,213.12/570,238.34 = 231,921.42/x
  3. Step 3: Cross multiply
    413,213.12x = 570,238.34 × 231,921.42
  4. Step 4: Simplify right side
    413,213.12x = 132,250,484,391.64
  5. Step 5: Solve for x
    x = 132,250,484,391.64/413,213.12
  6. Step 6: Final answer
    x = 320,053.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.