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Finding the Fourth Proportional to 394,012.34, 590,959.73 and 109,673.18

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Solution

The fourth proportional to 394,012.34, 590,959.73 and 109,673.18 is: 164,493.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,012.34 : 590,959.73 = 109,673.18 : x
  2. Step 2: Convert to fraction form
    394,012.34/590,959.73 = 109,673.18/x
  3. Step 3: Cross multiply
    394,012.34x = 590,959.73 × 109,673.18
  4. Step 4: Simplify right side
    394,012.34x = 64,812,429,337.88
  5. Step 5: Solve for x
    x = 64,812,429,337.88/394,012.34
  6. Step 6: Final answer
    x = 164,493.40

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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.