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Finding the Fourth Proportional to 524,964.24, 787,571.78 and 169,978.64

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Solution

The fourth proportional to 524,964.24, 787,571.78 and 169,978.64 is: 255,008.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,964.24 : 787,571.78 = 169,978.64 : x
  2. Step 2: Convert to fraction form
    524,964.24/787,571.78 = 169,978.64/x
  3. Step 3: Cross multiply
    524,964.24x = 787,571.78 × 169,978.64
  4. Step 4: Simplify right side
    524,964.24x = 133,870,375,279.03
  5. Step 5: Solve for x
    x = 133,870,375,279.03/524,964.24
  6. Step 6: Final answer
    x = 255,008.56

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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.