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Finding the Fourth Proportional to 399,489.53, 551,292.27 and 218,201.58

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Solution

The fourth proportional to 399,489.53, 551,292.27 and 218,201.58 is: 301,116.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,489.53 : 551,292.27 = 218,201.58 : x
  2. Step 2: Convert to fraction form
    399,489.53/551,292.27 = 218,201.58/x
  3. Step 3: Cross multiply
    399,489.53x = 551,292.27 × 218,201.58
  4. Step 4: Simplify right side
    399,489.53x = 120,292,843,264.78
  5. Step 5: Solve for x
    x = 120,292,843,264.78/399,489.53
  6. Step 6: Final answer
    x = 301,116.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.