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Finding the Fourth Proportional to 312,380.36, 468,566.38 and 75,725.16

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Solution

The fourth proportional to 312,380.36, 468,566.38 and 75,725.16 is: 113,586.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,380.36 : 468,566.38 = 75,725.16 : x
  2. Step 2: Convert to fraction form
    312,380.36/468,566.38 = 75,725.16/x
  3. Step 3: Cross multiply
    312,380.36x = 468,566.38 × 75,725.16
  4. Step 4: Simplify right side
    312,380.36x = 35,482,264,096.12
  5. Step 5: Solve for x
    x = 35,482,264,096.12/312,380.36
  6. Step 6: Final answer
    x = 113,586.73

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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.