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Finding the Fourth Proportional to 413,219.88, 570,481.38 and 277,450.92

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Solution

The fourth proportional to 413,219.88, 570,481.38 and 277,450.92 is: 383,042.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,219.88 : 570,481.38 = 277,450.92 : x
  2. Step 2: Convert to fraction form
    413,219.88/570,481.38 = 277,450.92/x
  3. Step 3: Cross multiply
    413,219.88x = 570,481.38 × 277,450.92
  4. Step 4: Simplify right side
    413,219.88x = 158,280,583,723.87
  5. Step 5: Solve for x
    x = 158,280,583,723.87/413,219.88
  6. Step 6: Final answer
    x = 383,042.03

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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.