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Finding the Fourth Proportional to 314,593.44, 434,233.81 and 214,049.76

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Solution

The fourth proportional to 314,593.44, 434,233.81 and 214,049.76 is: 295,453.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,593.44 : 434,233.81 = 214,049.76 : x
  2. Step 2: Convert to fraction form
    314,593.44/434,233.81 = 214,049.76/x
  3. Step 3: Cross multiply
    314,593.44x = 434,233.81 × 214,049.76
  4. Step 4: Simplify right side
    314,593.44x = 92,947,642,814.39
  5. Step 5: Solve for x
    x = 92,947,642,814.39/314,593.44
  6. Step 6: Final answer
    x = 295,453.21

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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.