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Finding the Fourth Proportional to 413,722.20, 620,583.30 and 394,476.60

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Solution

The fourth proportional to 413,722.20, 620,583.30 and 394,476.60 is: 591,714.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,722.20 : 620,583.30 = 394,476.60 : x
  2. Step 2: Convert to fraction form
    413,722.20/620,583.30 = 394,476.60/x
  3. Step 3: Cross multiply
    413,722.20x = 620,583.30 × 394,476.60
  4. Step 4: Simplify right side
    413,722.20x = 244,805,590,200.78
  5. Step 5: Solve for x
    x = 244,805,590,200.78/413,722.20
  6. Step 6: Final answer
    x = 591,714.90

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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.