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Finding the Fourth Proportional to 305,227.86, 457,977.87 and 118,253.94

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Solution

The fourth proportional to 305,227.86, 457,977.87 and 118,253.94 is: 177,433.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,227.86 : 457,977.87 = 118,253.94 : x
  2. Step 2: Convert to fraction form
    305,227.86/457,977.87 = 118,253.94/x
  3. Step 3: Cross multiply
    305,227.86x = 457,977.87 × 118,253.94
  4. Step 4: Simplify right side
    305,227.86x = 54,157,687,560.31
  5. Step 5: Solve for x
    x = 54,157,687,560.31/305,227.86
  6. Step 6: Final answer
    x = 177,433.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.