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Finding the Fourth Proportional to 470,998.88, 649,786.80 and 267,006.56

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Solution

The fourth proportional to 470,998.88, 649,786.80 and 267,006.56 is: 368,360.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,998.88 : 649,786.80 = 267,006.56 : x
  2. Step 2: Convert to fraction form
    470,998.88/649,786.80 = 267,006.56/x
  3. Step 3: Cross multiply
    470,998.88x = 649,786.80 × 267,006.56
  4. Step 4: Simplify right side
    470,998.88x = 173,497,338,201.41
  5. Step 5: Solve for x
    x = 173,497,338,201.41/470,998.88
  6. Step 6: Final answer
    x = 368,360.41

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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.