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Finding the Fourth Proportional to 273,197.72, 409,078.56 and 219,605.24

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Solution

The fourth proportional to 273,197.72, 409,078.56 and 219,605.24 is: 328,830.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,197.72 : 409,078.56 = 219,605.24 : x
  2. Step 2: Convert to fraction form
    273,197.72/409,078.56 = 219,605.24/x
  3. Step 3: Cross multiply
    273,197.72x = 409,078.56 × 219,605.24
  4. Step 4: Simplify right side
    273,197.72x = 89,835,795,347.65
  5. Step 5: Solve for x
    x = 89,835,795,347.65/273,197.72
  6. Step 6: Final answer
    x = 328,830.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.