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Finding the Fourth Proportional to 394,647.82, 591,873.21 and 154,810.46

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Solution

The fourth proportional to 394,647.82, 591,873.21 and 154,810.46 is: 232,177.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,647.82 : 591,873.21 = 154,810.46 : x
  2. Step 2: Convert to fraction form
    394,647.82/591,873.21 = 154,810.46/x
  3. Step 3: Cross multiply
    394,647.82x = 591,873.21 × 154,810.46
  4. Step 4: Simplify right side
    394,647.82x = 91,628,165,381.46
  5. Step 5: Solve for x
    x = 91,628,165,381.46/394,647.82
  6. Step 6: Final answer
    x = 232,177.05

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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.