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Finding the Fourth Proportional to 411,764.85, 617,753.77 and 241,130.67

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Solution

The fourth proportional to 411,764.85, 617,753.77 and 241,130.67 is: 361,758.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,764.85 : 617,753.77 = 241,130.67 : x
  2. Step 2: Convert to fraction form
    411,764.85/617,753.77 = 241,130.67/x
  3. Step 3: Cross multiply
    411,764.85x = 617,753.77 × 241,130.67
  4. Step 4: Simplify right side
    411,764.85x = 148,959,380,455.13
  5. Step 5: Solve for x
    x = 148,959,380,455.13/411,764.85
  6. Step 6: Final answer
    x = 361,758.37

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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.