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Finding the Fourth Proportional to 308,972.43, 462,913.56 and 270,593.46

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Solution

The fourth proportional to 308,972.43, 462,913.56 and 270,593.46 is: 405,412.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,972.43 : 462,913.56 = 270,593.46 : x
  2. Step 2: Convert to fraction form
    308,972.43/462,913.56 = 270,593.46/x
  3. Step 3: Cross multiply
    308,972.43x = 462,913.56 × 270,593.46
  4. Step 4: Simplify right side
    308,972.43x = 125,261,381,881.32
  5. Step 5: Solve for x
    x = 125,261,381,881.32/308,972.43
  6. Step 6: Final answer
    x = 405,412.81

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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.