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Finding the Fourth Proportional to 394,274.34, 591,402.92 and 109,957.34

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Solution

The fourth proportional to 394,274.34, 591,402.92 and 109,957.34 is: 164,933.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,274.34 : 591,402.92 = 109,957.34 : x
  2. Step 2: Convert to fraction form
    394,274.34/591,402.92 = 109,957.34/x
  3. Step 3: Cross multiply
    394,274.34x = 591,402.92 × 109,957.34
  4. Step 4: Simplify right side
    394,274.34x = 65,029,088,444.63
  5. Step 5: Solve for x
    x = 65,029,088,444.63/394,274.34
  6. Step 6: Final answer
    x = 164,933.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.