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Finding the Fourth Proportional to 421,952.94, 582,334.65 and 252,183.42

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Solution

The fourth proportional to 421,952.94, 582,334.65 and 252,183.42 is: 348,036.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,952.94 : 582,334.65 = 252,183.42 : x
  2. Step 2: Convert to fraction form
    421,952.94/582,334.65 = 252,183.42/x
  3. Step 3: Cross multiply
    421,952.94x = 582,334.65 × 252,183.42
  4. Step 4: Simplify right side
    421,952.94x = 146,855,143,621.50
  5. Step 5: Solve for x
    x = 146,855,143,621.50/421,952.94
  6. Step 6: Final answer
    x = 348,036.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.