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Finding the Fourth Proportional to 467,932.20, 701,898.30 and 408,883.20

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Solution

The fourth proportional to 467,932.20, 701,898.30 and 408,883.20 is: 613,324.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,932.20 : 701,898.30 = 408,883.20 : x
  2. Step 2: Convert to fraction form
    467,932.20/701,898.30 = 408,883.20/x
  3. Step 3: Cross multiply
    467,932.20x = 701,898.30 × 408,883.20
  4. Step 4: Simplify right side
    467,932.20x = 286,994,422,978.56
  5. Step 5: Solve for x
    x = 286,994,422,978.56/467,932.20
  6. Step 6: Final answer
    x = 613,324.80

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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.