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Finding the Fourth Proportional to 305,536.86, 421,691.58 and 178,212.48

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Solution

The fourth proportional to 305,536.86, 421,691.58 and 178,212.48 is: 245,962.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,536.86 : 421,691.58 = 178,212.48 : x
  2. Step 2: Convert to fraction form
    305,536.86/421,691.58 = 178,212.48/x
  3. Step 3: Cross multiply
    305,536.86x = 421,691.58 × 178,212.48
  4. Step 4: Simplify right side
    305,536.86x = 75,150,702,266.92
  5. Step 5: Solve for x
    x = 75,150,702,266.92/305,536.86
  6. Step 6: Final answer
    x = 245,962.80

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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.