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Finding the Fourth Proportional to 308,716.56, 426,014.37 and 172,767.78

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Solution

The fourth proportional to 308,716.56, 426,014.37 and 172,767.78 is: 238,411.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,716.56 : 426,014.37 = 172,767.78 : x
  2. Step 2: Convert to fraction form
    308,716.56/426,014.37 = 172,767.78/x
  3. Step 3: Cross multiply
    308,716.56x = 426,014.37 × 172,767.78
  4. Step 4: Simplify right side
    308,716.56x = 73,601,556,953.00
  5. Step 5: Solve for x
    x = 73,601,556,953.00/308,716.56
  6. Step 6: Final answer
    x = 238,411.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.