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Finding the Fourth Proportional to 421,924.65, 582,255.05 and 230,936.37

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Solution

The fourth proportional to 421,924.65, 582,255.05 and 230,936.37 is: 318,691.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,924.65 : 582,255.05 = 230,936.37 : x
  2. Step 2: Convert to fraction form
    421,924.65/582,255.05 = 230,936.37/x
  3. Step 3: Cross multiply
    421,924.65x = 582,255.05 × 230,936.37
  4. Step 4: Simplify right side
    421,924.65x = 134,463,866,506.49
  5. Step 5: Solve for x
    x = 134,463,866,506.49/421,924.65
  6. Step 6: Final answer
    x = 318,691.66

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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.