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Finding the Fourth Proportional to 308,972.88, 463,546.80 and 182,725.20

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Solution

The fourth proportional to 308,972.88, 463,546.80 and 182,725.20 is: 274,139.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,972.88 : 463,546.80 = 182,725.20 : x
  2. Step 2: Convert to fraction form
    308,972.88/463,546.80 = 182,725.20/x
  3. Step 3: Cross multiply
    308,972.88x = 463,546.80 × 182,725.20
  4. Step 4: Simplify right side
    308,972.88x = 84,701,681,739.36
  5. Step 5: Solve for x
    x = 84,701,681,739.36/308,972.88
  6. Step 6: Final answer
    x = 274,139.54

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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.