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Finding the Fourth Proportional to 312,672.28, 468,893.46 and 107,448.70

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Solution

The fourth proportional to 312,672.28, 468,893.46 and 107,448.70 is: 161,133.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,672.28 : 468,893.46 = 107,448.70 : x
  2. Step 2: Convert to fraction form
    312,672.28/468,893.46 = 107,448.70/x
  3. Step 3: Cross multiply
    312,672.28x = 468,893.46 × 107,448.70
  4. Step 4: Simplify right side
    312,672.28x = 50,381,992,715.50
  5. Step 5: Solve for x
    x = 50,381,992,715.50/312,672.28
  6. Step 6: Final answer
    x = 161,133.54

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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.