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Finding the Fourth Proportional to 392,198.10, 588,229.44 and 104,011.74

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Solution

The fourth proportional to 392,198.10, 588,229.44 and 104,011.74 is: 155,999.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,198.10 : 588,229.44 = 104,011.74 : x
  2. Step 2: Convert to fraction form
    392,198.10/588,229.44 = 104,011.74/x
  3. Step 3: Cross multiply
    392,198.10x = 588,229.44 × 104,011.74
  4. Step 4: Simplify right side
    392,198.10x = 61,182,767,573.63
  5. Step 5: Solve for x
    x = 61,182,767,573.63/392,198.10
  6. Step 6: Final answer
    x = 155,999.65

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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.