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Finding the Fourth Proportional to 311,505.22, 467,302.94 and 98,201.04

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Solution

The fourth proportional to 311,505.22, 467,302.94 and 98,201.04 is: 147,315.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,505.22 : 467,302.94 = 98,201.04 : x
  2. Step 2: Convert to fraction form
    311,505.22/467,302.94 = 98,201.04/x
  3. Step 3: Cross multiply
    311,505.22x = 467,302.94 × 98,201.04
  4. Step 4: Simplify right side
    311,505.22x = 45,889,634,703.06
  5. Step 5: Solve for x
    x = 45,889,634,703.06/311,505.22
  6. Step 6: Final answer
    x = 147,315.78

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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.