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Finding the Fourth Proportional to 421,231.76, 581,299.84 and 230,245.92

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Solution

The fourth proportional to 421,231.76, 581,299.84 and 230,245.92 is: 317,739.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,231.76 : 581,299.84 = 230,245.92 : x
  2. Step 2: Convert to fraction form
    421,231.76/581,299.84 = 230,245.92/x
  3. Step 3: Cross multiply
    421,231.76x = 581,299.84 × 230,245.92
  4. Step 4: Simplify right side
    421,231.76x = 133,841,916,456.65
  5. Step 5: Solve for x
    x = 133,841,916,456.65/421,231.76
  6. Step 6: Final answer
    x = 317,739.38

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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.