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Finding the Fourth Proportional to 394,975.68, 545,052.96 and 225,264.48

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Solution

The fourth proportional to 394,975.68, 545,052.96 and 225,264.48 is: 310,857.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,975.68 : 545,052.96 = 225,264.48 : x
  2. Step 2: Convert to fraction form
    394,975.68/545,052.96 = 225,264.48/x
  3. Step 3: Cross multiply
    394,975.68x = 545,052.96 × 225,264.48
  4. Step 4: Simplify right side
    394,975.68x = 122,781,071,606.86
  5. Step 5: Solve for x
    x = 122,781,071,606.86/394,975.68
  6. Step 6: Final answer
    x = 310,857.30

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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.