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Finding the Fourth Proportional to 313,004.25, 431,955.65 and 177,035.54

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Solution

The fourth proportional to 313,004.25, 431,955.65 and 177,035.54 is: 244,314.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,004.25 : 431,955.65 = 177,035.54 : x
  2. Step 2: Convert to fraction form
    313,004.25/431,955.65 = 177,035.54/x
  3. Step 3: Cross multiply
    313,004.25x = 431,955.65 × 177,035.54
  4. Step 4: Simplify right side
    313,004.25x = 76,471,501,753.80
  5. Step 5: Solve for x
    x = 76,471,501,753.80/313,004.25
  6. Step 6: Final answer
    x = 244,314.58

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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.