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Finding the Fourth Proportional to 467,695.44, 701,018.28 and 231,204.20

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Solution

The fourth proportional to 467,695.44, 701,018.28 and 231,204.20 is: 346,546.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,695.44 : 701,018.28 = 231,204.20 : x
  2. Step 2: Convert to fraction form
    467,695.44/701,018.28 = 231,204.20/x
  3. Step 3: Cross multiply
    467,695.44x = 701,018.28 × 231,204.20
  4. Step 4: Simplify right side
    467,695.44x = 162,078,367,107.69
  5. Step 5: Solve for x
    x = 162,078,367,107.69/467,695.44
  6. Step 6: Final answer
    x = 346,546.82

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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.