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Finding the Fourth Proportional to 392,014.34, 587,951.38 and 103,827.96

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Solution

The fourth proportional to 392,014.34, 587,951.38 and 103,827.96 is: 155,723.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,014.34 : 587,951.38 = 103,827.96 : x
  2. Step 2: Convert to fraction form
    392,014.34/587,951.38 = 103,827.96/x
  3. Step 3: Cross multiply
    392,014.34x = 587,951.38 × 103,827.96
  4. Step 4: Simplify right side
    392,014.34x = 61,045,792,364.58
  5. Step 5: Solve for x
    x = 61,045,792,364.58/392,014.34
  6. Step 6: Final answer
    x = 155,723.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.