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Finding the Fourth Proportional to 421,024.24, 580,996.38 and 230,044.24

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Solution

The fourth proportional to 421,024.24, 580,996.38 and 230,044.24 is: 317,451.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,024.24 : 580,996.38 = 230,044.24 : x
  2. Step 2: Convert to fraction form
    421,024.24/580,996.38 = 230,044.24/x
  3. Step 3: Cross multiply
    421,024.24x = 580,996.38 × 230,044.24
  4. Step 4: Simplify right side
    421,024.24x = 133,654,870,679.85
  5. Step 5: Solve for x
    x = 133,654,870,679.85/421,024.24
  6. Step 6: Final answer
    x = 317,451.72

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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.