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Finding the Fourth Proportional to 411,586.80, 617,322.60 and 131,132.40

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Solution

The fourth proportional to 411,586.80, 617,322.60 and 131,132.40 is: 196,680.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,586.80 : 617,322.60 = 131,132.40 : x
  2. Step 2: Convert to fraction form
    411,586.80/617,322.60 = 131,132.40/x
  3. Step 3: Cross multiply
    411,586.80x = 617,322.60 × 131,132.40
  4. Step 4: Simplify right side
    411,586.80x = 80,950,994,112.24
  5. Step 5: Solve for x
    x = 80,950,994,112.24/411,586.80
  6. Step 6: Final answer
    x = 196,680.25

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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.