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Finding the Fourth Proportional to 303,906.45, 419,407.05 and 174,864.53

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Solution

The fourth proportional to 303,906.45, 419,407.05 and 174,864.53 is: 241,322.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,906.45 : 419,407.05 = 174,864.53 : x
  2. Step 2: Convert to fraction form
    303,906.45/419,407.05 = 174,864.53/x
  3. Step 3: Cross multiply
    303,906.45x = 419,407.05 × 174,864.53
  4. Step 4: Simplify right side
    303,906.45x = 73,339,417,369.97
  5. Step 5: Solve for x
    x = 73,339,417,369.97/303,906.45
  6. Step 6: Final answer
    x = 241,322.34

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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.