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Finding the Fourth Proportional to 399,093.80, 598,640.70 and 347,772.20

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Solution

The fourth proportional to 399,093.80, 598,640.70 and 347,772.20 is: 521,658.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,093.80 : 598,640.70 = 347,772.20 : x
  2. Step 2: Convert to fraction form
    399,093.80/598,640.70 = 347,772.20/x
  3. Step 3: Cross multiply
    399,093.80x = 598,640.70 × 347,772.20
  4. Step 4: Simplify right side
    399,093.80x = 208,190,593,248.54
  5. Step 5: Solve for x
    x = 208,190,593,248.54/399,093.80
  6. Step 6: Final answer
    x = 521,658.30

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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.