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Finding the Fourth Proportional to 298,665.74, 447,843.08 and 140,851.82

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Solution

The fourth proportional to 298,665.74, 447,843.08 and 140,851.82 is: 211,204.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,665.74 : 447,843.08 = 140,851.82 : x
  2. Step 2: Convert to fraction form
    298,665.74/447,843.08 = 140,851.82/x
  3. Step 3: Cross multiply
    298,665.74x = 447,843.08 × 140,851.82
  4. Step 4: Simplify right side
    298,665.74x = 63,079,512,892.41
  5. Step 5: Solve for x
    x = 63,079,512,892.41/298,665.74
  6. Step 6: Final answer
    x = 211,204.38

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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.