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Finding the Fourth Proportional to 411,344.15, 617,093.44 and 186,720.37

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Solution

The fourth proportional to 411,344.15, 617,093.44 and 186,720.37 is: 280,115.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,344.15 : 617,093.44 = 186,720.37 : x
  2. Step 2: Convert to fraction form
    411,344.15/617,093.44 = 186,720.37/x
  3. Step 3: Cross multiply
    411,344.15x = 617,093.44 × 186,720.37
  4. Step 4: Simplify right side
    411,344.15x = 115,223,911,422.30
  5. Step 5: Solve for x
    x = 115,223,911,422.30/411,344.15
  6. Step 6: Final answer
    x = 280,115.60

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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.