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Finding the Fourth Proportional to 465,906.24, 642,906.26 and 272,359.29

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Solution

The fourth proportional to 465,906.24, 642,906.26 and 272,359.29 is: 375,829.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,906.24 : 642,906.26 = 272,359.29 : x
  2. Step 2: Convert to fraction form
    465,906.24/642,906.26 = 272,359.29/x
  3. Step 3: Cross multiply
    465,906.24x = 642,906.26 × 272,359.29
  4. Step 4: Simplify right side
    465,906.24x = 175,101,491,148.36
  5. Step 5: Solve for x
    x = 175,101,491,148.36/465,906.24
  6. Step 6: Final answer
    x = 375,829.89

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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.