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Finding the Fourth Proportional to 411,399.99, 617,143.74 and 111,885.48

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Solution

The fourth proportional to 411,399.99, 617,143.74 and 111,885.48 is: 167,840.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,399.99 : 617,143.74 = 111,885.48 : x
  2. Step 2: Convert to fraction form
    411,399.99/617,143.74 = 111,885.48/x
  3. Step 3: Cross multiply
    411,399.99x = 617,143.74 × 111,885.48
  4. Step 4: Simplify right side
    411,399.99x = 69,049,423,578.90
  5. Step 5: Solve for x
    x = 69,049,423,578.90/411,399.99
  6. Step 6: Final answer
    x = 167,840.12

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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.