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Finding the Fourth Proportional to 311,741.46, 467,612.28 and 75,084.03

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Solution

The fourth proportional to 311,741.46, 467,612.28 and 75,084.03 is: 112,626.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,741.46 : 467,612.28 = 75,084.03 : x
  2. Step 2: Convert to fraction form
    311,741.46/467,612.28 = 75,084.03/x
  3. Step 3: Cross multiply
    311,741.46x = 467,612.28 × 75,084.03
  4. Step 4: Simplify right side
    311,741.46x = 35,110,214,459.89
  5. Step 5: Solve for x
    x = 35,110,214,459.89/311,741.46
  6. Step 6: Final answer
    x = 112,626.07

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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.