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Finding the Fourth Proportional to 413,092.11, 570,072.56 and 231,843.27

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Solution

The fourth proportional to 413,092.11, 570,072.56 and 231,843.27 is: 319,946.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,092.11 : 570,072.56 = 231,843.27 : x
  2. Step 2: Convert to fraction form
    413,092.11/570,072.56 = 231,843.27/x
  3. Step 3: Cross multiply
    413,092.11x = 570,072.56 × 231,843.27
  4. Step 4: Simplify right side
    413,092.11x = 132,167,485,288.46
  5. Step 5: Solve for x
    x = 132,167,485,288.46/413,092.11
  6. Step 6: Final answer
    x = 319,946.77

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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.