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Finding the Fourth Proportional to 467,760.84, 701,467.11 and 168,159.66

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Solution

The fourth proportional to 467,760.84, 701,467.11 and 168,159.66 is: 252,176.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,760.84 : 701,467.11 = 168,159.66 : x
  2. Step 2: Convert to fraction form
    467,760.84/701,467.11 = 168,159.66/x
  3. Step 3: Cross multiply
    467,760.84x = 701,467.11 × 168,159.66
  4. Step 4: Simplify right side
    467,760.84x = 117,958,470,718.78
  5. Step 5: Solve for x
    x = 117,958,470,718.78/467,760.84
  6. Step 6: Final answer
    x = 252,176.88

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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.