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Finding the Fourth Proportional to 413,086.44, 570,013.02 and 231,760.65

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Solution

The fourth proportional to 413,086.44, 570,013.02 and 231,760.65 is: 319,803.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,086.44 : 570,013.02 = 231,760.65 : x
  2. Step 2: Convert to fraction form
    413,086.44/570,013.02 = 231,760.65/x
  3. Step 3: Cross multiply
    413,086.44x = 570,013.02 × 231,760.65
  4. Step 4: Simplify right side
    413,086.44x = 132,106,588,023.66
  5. Step 5: Solve for x
    x = 132,106,588,023.66/413,086.44
  6. Step 6: Final answer
    x = 319,803.74

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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.