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Finding the Fourth Proportional to 411,396.99, 617,139.23 and 111,882.48

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Solution

The fourth proportional to 411,396.99, 617,139.23 and 111,882.48 is: 167,835.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,396.99 : 617,139.23 = 111,882.48 : x
  2. Step 2: Convert to fraction form
    411,396.99/617,139.23 = 111,882.48/x
  3. Step 3: Cross multiply
    411,396.99x = 617,139.23 × 111,882.48
  4. Step 4: Simplify right side
    411,396.99x = 69,047,066,998.28
  5. Step 5: Solve for x
    x = 69,047,066,998.28/411,396.99
  6. Step 6: Final answer
    x = 167,835.62

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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.