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Finding the Fourth Proportional to 312,881.40, 431,773.73 and 176,942.04

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Solution

The fourth proportional to 312,881.40, 431,773.73 and 176,942.04 is: 244,178.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,881.40 : 431,773.73 = 176,942.04 : x
  2. Step 2: Convert to fraction form
    312,881.40/431,773.73 = 176,942.04/x
  3. Step 3: Cross multiply
    312,881.40x = 431,773.73 × 176,942.04
  4. Step 4: Simplify right side
    312,881.40x = 76,398,922,100.75
  5. Step 5: Solve for x
    x = 76,398,922,100.75/312,881.40
  6. Step 6: Final answer
    x = 244,178.54

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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.