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Finding the Fourth Proportional to 315,227.56, 434,996.21 and 179,294.58

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Solution

The fourth proportional to 315,227.56, 434,996.21 and 179,294.58 is: 247,416.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,227.56 : 434,996.21 = 179,294.58 : x
  2. Step 2: Convert to fraction form
    315,227.56/434,996.21 = 179,294.58/x
  3. Step 3: Cross multiply
    315,227.56x = 434,996.21 × 179,294.58
  4. Step 4: Simplify right side
    315,227.56x = 77,992,462,773.54
  5. Step 5: Solve for x
    x = 77,992,462,773.54/315,227.56
  6. Step 6: Final answer
    x = 247,416.38

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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.