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Finding the Fourth Proportional to 394,662.42, 591,895.08 and 154,825.20

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Solution

The fourth proportional to 394,662.42, 591,895.08 and 154,825.20 is: 232,199.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,662.42 : 591,895.08 = 154,825.20 : x
  2. Step 2: Convert to fraction form
    394,662.42/591,895.08 = 154,825.20/x
  3. Step 3: Cross multiply
    394,662.42x = 591,895.08 × 154,825.20
  4. Step 4: Simplify right side
    394,662.42x = 91,640,274,140.02
  5. Step 5: Solve for x
    x = 91,640,274,140.02/394,662.42
  6. Step 6: Final answer
    x = 232,199.14

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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.