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Finding the Fourth Proportional to 311,622.96, 467,449.96 and 151,845.68

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Solution

The fourth proportional to 311,622.96, 467,449.96 and 151,845.68 is: 227,776.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,622.96 : 467,449.96 = 151,845.68 : x
  2. Step 2: Convert to fraction form
    311,622.96/467,449.96 = 151,845.68/x
  3. Step 3: Cross multiply
    311,622.96x = 467,449.96 × 151,845.68
  4. Step 4: Simplify right side
    311,622.96x = 70,980,257,042.17
  5. Step 5: Solve for x
    x = 70,980,257,042.17/311,622.96
  6. Step 6: Final answer
    x = 227,776.08

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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.