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Finding the Fourth Proportional to 399,708.68, 551,591.34 and 218,416.74

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Solution

The fourth proportional to 399,708.68, 551,591.34 and 218,416.74 is: 301,411.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,708.68 : 551,591.34 = 218,416.74 : x
  2. Step 2: Convert to fraction form
    399,708.68/551,591.34 = 218,416.74/x
  3. Step 3: Cross multiply
    399,708.68x = 551,591.34 × 218,416.74
  4. Step 4: Simplify right side
    399,708.68x = 120,476,782,295.03
  5. Step 5: Solve for x
    x = 120,476,782,295.03/399,708.68
  6. Step 6: Final answer
    x = 301,411.47

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