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Finding the Fourth Proportional to 411,768.11, 617,758.67 and 241,133.95

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Solution

The fourth proportional to 411,768.11, 617,758.67 and 241,133.95 is: 361,763.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,768.11 : 617,758.67 = 241,133.95 : x
  2. Step 2: Convert to fraction form
    411,768.11/617,758.67 = 241,133.95/x
  3. Step 3: Cross multiply
    411,768.11x = 617,758.67 × 241,133.95
  4. Step 4: Simplify right side
    411,768.11x = 148,962,588,243.85
  5. Step 5: Solve for x
    x = 148,962,588,243.85/411,768.11
  6. Step 6: Final answer
    x = 361,763.29

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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.