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Finding the Fourth Proportional to 312,244.18, 468,367.46 and 75,586.48

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Solution

The fourth proportional to 312,244.18, 468,367.46 and 75,586.48 is: 113,380.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,244.18 : 468,367.46 = 75,586.48 : x
  2. Step 2: Convert to fraction form
    312,244.18/468,367.46 = 75,586.48/x
  3. Step 3: Cross multiply
    312,244.18x = 468,367.46 × 75,586.48
  4. Step 4: Simplify right side
    312,244.18x = 35,402,247,647.94
  5. Step 5: Solve for x
    x = 35,402,247,647.94/312,244.18
  6. Step 6: Final answer
    x = 113,380.01

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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.