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Finding the Fourth Proportional to 399,853.44, 551,801.45 and 227,768.94

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Solution

The fourth proportional to 399,853.44, 551,801.45 and 227,768.94 is: 314,323.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,853.44 : 551,801.45 = 227,768.94 : x
  2. Step 2: Convert to fraction form
    399,853.44/551,801.45 = 227,768.94/x
  3. Step 3: Cross multiply
    399,853.44x = 551,801.45 × 227,768.94
  4. Step 4: Simplify right side
    399,853.44x = 125,683,231,926.39
  5. Step 5: Solve for x
    x = 125,683,231,926.39/399,853.44
  6. Step 6: Final answer
    x = 314,323.25

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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.