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Finding the Fourth Proportional to 274,380.84, 413,627.69 and 256,092

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Solution

The fourth proportional to 274,380.84, 413,627.69 and 256,092 is: 386,057.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,380.84 : 413,627.69 = 256,092 : x
  2. Step 2: Convert to fraction form
    274,380.84/413,627.69 = 256,092/x
  3. Step 3: Cross multiply
    274,380.84x = 413,627.69 × 256,092
  4. Step 4: Simplify right side
    274,380.84x = 105,926,742,387.48
  5. Step 5: Solve for x
    x = 105,926,742,387.48/274,380.84
  6. Step 6: Final answer
    x = 386,057.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.