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Finding the Fourth Proportional to 411,492.65, 617,176.60 and 111,996.56

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Solution

The fourth proportional to 411,492.65, 617,176.60 and 111,996.56 is: 167,977.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,492.65 : 617,176.60 = 111,996.56 : x
  2. Step 2: Convert to fraction form
    411,492.65/617,176.60 = 111,996.56/x
  3. Step 3: Cross multiply
    411,492.65x = 617,176.60 × 111,996.56
  4. Step 4: Simplify right side
    411,492.65x = 69,121,657,375.45
  5. Step 5: Solve for x
    x = 69,121,657,375.45/411,492.65
  6. Step 6: Final answer
    x = 167,977.87

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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.