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Finding the Fourth Proportional to 411,492.41, 617,176.25 and 111,996.32

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Solution

The fourth proportional to 411,492.41, 617,176.25 and 111,996.32 is: 167,977.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,492.41 : 617,176.25 = 111,996.32 : x
  2. Step 2: Convert to fraction form
    411,492.41/617,176.25 = 111,996.32/x
  3. Step 3: Cross multiply
    411,492.41x = 617,176.25 × 111,996.32
  4. Step 4: Simplify right side
    411,492.41x = 69,121,469,774.36
  5. Step 5: Solve for x
    x = 69,121,469,774.36/411,492.41
  6. Step 6: Final answer
    x = 167,977.51

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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.