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Finding the Fourth Proportional to 311,994.84, 467,604 and 151,939.92

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Solution

The fourth proportional to 311,994.84, 467,604 and 151,939.92 is: 227,720.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,994.84 : 467,604 = 151,939.92 : x
  2. Step 2: Convert to fraction form
    311,994.84/467,604 = 151,939.92/x
  3. Step 3: Cross multiply
    311,994.84x = 467,604 × 151,939.92
  4. Step 4: Simplify right side
    311,994.84x = 71,047,714,351.68
  5. Step 5: Solve for x
    x = 71,047,714,351.68/311,994.84
  6. Step 6: Final answer
    x = 227,720.80

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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.