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Finding the Fourth Proportional to 392,084.15, 587,178.95 and 223,092.59

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Solution

The fourth proportional to 392,084.15, 587,178.95 and 223,092.59 is: 334,099.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,084.15 : 587,178.95 = 223,092.59 : x
  2. Step 2: Convert to fraction form
    392,084.15/587,178.95 = 223,092.59/x
  3. Step 3: Cross multiply
    392,084.15x = 587,178.95 × 223,092.59
  4. Step 4: Simplify right side
    392,084.15x = 130,995,268,697.62
  5. Step 5: Solve for x
    x = 130,995,268,697.62/392,084.15
  6. Step 6: Final answer
    x = 334,099.89

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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.