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Finding the Fourth Proportional to 467,680.94, 701,546.46 and 147,808.48

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Solution

The fourth proportional to 467,680.94, 701,546.46 and 147,808.48 is: 221,720.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,680.94 : 701,546.46 = 147,808.48 : x
  2. Step 2: Convert to fraction form
    467,680.94/701,546.46 = 147,808.48/x
  3. Step 3: Cross multiply
    467,680.94x = 701,546.46 × 147,808.48
  4. Step 4: Simplify right side
    467,680.94x = 103,694,511,655.21
  5. Step 5: Solve for x
    x = 103,694,511,655.21/467,680.94
  6. Step 6: Final answer
    x = 221,720.63

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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.