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Finding the Fourth Proportional to 411,771.62, 617,763.92 and 241,137.45

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Solution

The fourth proportional to 411,771.62, 617,763.92 and 241,137.45 is: 361,768.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,771.62 : 617,763.92 = 241,137.45 : x
  2. Step 2: Convert to fraction form
    411,771.62/617,763.92 = 241,137.45/x
  3. Step 3: Cross multiply
    411,771.62x = 617,763.92 × 241,137.45
  4. Step 4: Simplify right side
    411,771.62x = 148,966,015,165.12
  5. Step 5: Solve for x
    x = 148,966,015,165.12/411,771.62
  6. Step 6: Final answer
    x = 361,768.53

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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.