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Finding the Fourth Proportional to 399,854.44, 551,802.83 and 227,769.94

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Solution

The fourth proportional to 399,854.44, 551,802.83 and 227,769.94 is: 314,324.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,854.44 : 551,802.83 = 227,769.94 : x
  2. Step 2: Convert to fraction form
    399,854.44/551,802.83 = 227,769.94/x
  3. Step 3: Cross multiply
    399,854.44x = 551,802.83 × 227,769.94
  4. Step 4: Simplify right side
    399,854.44x = 125,684,097,480.93
  5. Step 5: Solve for x
    x = 125,684,097,480.93/399,854.44
  6. Step 6: Final answer
    x = 314,324.63

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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.