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Finding the Fourth Proportional to 312,768.34, 431,642.72 and 176,813.48

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Solution

The fourth proportional to 312,768.34, 431,642.72 and 176,813.48 is: 244,015.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,768.34 : 431,642.72 = 176,813.48 : x
  2. Step 2: Convert to fraction form
    312,768.34/431,642.72 = 176,813.48/x
  3. Step 3: Cross multiply
    312,768.34x = 431,642.72 × 176,813.48
  4. Step 4: Simplify right side
    312,768.34x = 76,320,252,961.01
  5. Step 5: Solve for x
    x = 76,320,252,961.01/312,768.34
  6. Step 6: Final answer
    x = 244,015.28

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