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Finding the Fourth Proportional to 347,846.40, 522,115.20 and 170,553.60

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Solution

The fourth proportional to 347,846.40, 522,115.20 and 170,553.60 is: 255,999.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,846.40 : 522,115.20 = 170,553.60 : x
  2. Step 2: Convert to fraction form
    347,846.40/522,115.20 = 170,553.60/x
  3. Step 3: Cross multiply
    347,846.40x = 522,115.20 × 170,553.60
  4. Step 4: Simplify right side
    347,846.40x = 89,048,626,974.72
  5. Step 5: Solve for x
    x = 89,048,626,974.72/347,846.40
  6. Step 6: Final answer
    x = 255,999.85

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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.