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Finding the Fourth Proportional to 411,487.86, 617,169.43 and 111,991.78

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Solution

The fourth proportional to 411,487.86, 617,169.43 and 111,991.78 is: 167,970.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,487.86 : 617,169.43 = 111,991.78 : x
  2. Step 2: Convert to fraction form
    411,487.86/617,169.43 = 111,991.78/x
  3. Step 3: Cross multiply
    411,487.86x = 617,169.43 × 111,991.78
  4. Step 4: Simplify right side
    411,487.86x = 69,117,901,572.99
  5. Step 5: Solve for x
    x = 69,117,901,572.99/411,487.86
  6. Step 6: Final answer
    x = 167,970.69

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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.