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Finding the Fourth Proportional to 312,215.88, 468,323.84 and 75,558.57

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Solution

The fourth proportional to 312,215.88, 468,323.84 and 75,558.57 is: 113,337.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,215.88 : 468,323.84 = 75,558.57 : x
  2. Step 2: Convert to fraction form
    312,215.88/468,323.84 = 75,558.57/x
  3. Step 3: Cross multiply
    312,215.88x = 468,323.84 × 75,558.57
  4. Step 4: Simplify right side
    312,215.88x = 35,385,879,269.52
  5. Step 5: Solve for x
    x = 35,385,879,269.52/312,215.88
  6. Step 6: Final answer
    x = 113,337.86

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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.