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Finding the Fourth Proportional to 424,846.37, 586,287.96 and 231,254.84

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Solution

The fourth proportional to 424,846.37, 586,287.96 and 231,254.84 is: 319,131.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,846.37 : 586,287.96 = 231,254.84 : x
  2. Step 2: Convert to fraction form
    424,846.37/586,287.96 = 231,254.84/x
  3. Step 3: Cross multiply
    424,846.37x = 586,287.96 × 231,254.84
  4. Step 4: Simplify right side
    424,846.37x = 135,581,928,383.73
  5. Step 5: Solve for x
    x = 135,581,928,383.73/424,846.37
  6. Step 6: Final answer
    x = 319,131.66

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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.