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Finding the Fourth Proportional to 394,511.80, 591,087.30 and 183,717.40

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Solution

The fourth proportional to 394,511.80, 591,087.30 and 183,717.40 is: 275,259.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,511.80 : 591,087.30 = 183,717.40 : x
  2. Step 2: Convert to fraction form
    394,511.80/591,087.30 = 183,717.40/x
  3. Step 3: Cross multiply
    394,511.80x = 591,087.30 × 183,717.40
  4. Step 4: Simplify right side
    394,511.80x = 108,593,021,929.02
  5. Step 5: Solve for x
    x = 108,593,021,929.02/394,511.80
  6. Step 6: Final answer
    x = 275,259.25

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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.