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Finding the Fourth Proportional to 300,414.35, 450,586.93 and 75,776.82

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Solution

The fourth proportional to 300,414.35, 450,586.93 and 75,776.82 is: 113,656.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,414.35 : 450,586.93 = 75,776.82 : x
  2. Step 2: Convert to fraction form
    300,414.35/450,586.93 = 75,776.82/x
  3. Step 3: Cross multiply
    300,414.35x = 450,586.93 × 75,776.82
  4. Step 4: Simplify right side
    300,414.35x = 34,144,042,738.78
  5. Step 5: Solve for x
    x = 34,144,042,738.78/300,414.35
  6. Step 6: Final answer
    x = 113,656.50

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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.