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Finding the Fourth Proportional to 311,593.92, 467,453.75 and 98,395.13

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Solution

The fourth proportional to 311,593.92, 467,453.75 and 98,395.13 is: 147,612.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,593.92 : 467,453.75 = 98,395.13 : x
  2. Step 2: Convert to fraction form
    311,593.92/467,453.75 = 98,395.13/x
  3. Step 3: Cross multiply
    311,593.92x = 467,453.75 × 98,395.13
  4. Step 4: Simplify right side
    311,593.92x = 45,995,173,914.86
  5. Step 5: Solve for x
    x = 45,995,173,914.86/311,593.92
  6. Step 6: Final answer
    x = 147,612.55

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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.