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Finding the Fourth Proportional to 305,056.44, 420,835.50 and 191,941.56

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Solution

The fourth proportional to 305,056.44, 420,835.50 and 191,941.56 is: 264,789.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,056.44 : 420,835.50 = 191,941.56 : x
  2. Step 2: Convert to fraction form
    305,056.44/420,835.50 = 191,941.56/x
  3. Step 3: Cross multiply
    305,056.44x = 420,835.50 × 191,941.56
  4. Step 4: Simplify right side
    305,056.44x = 80,775,822,373.38
  5. Step 5: Solve for x
    x = 80,775,822,373.38/305,056.44
  6. Step 6: Final answer
    x = 264,789.76

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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.