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Finding the Fourth Proportional to 411,392.94, 617,105.60 and 127,058.18

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Solution

The fourth proportional to 411,392.94, 617,105.60 and 127,058.18 is: 190,592.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,392.94 : 617,105.60 = 127,058.18 : x
  2. Step 2: Convert to fraction form
    411,392.94/617,105.60 = 127,058.18/x
  3. Step 3: Cross multiply
    411,392.94x = 617,105.60 × 127,058.18
  4. Step 4: Simplify right side
    411,392.94x = 78,408,310,682.99
  5. Step 5: Solve for x
    x = 78,408,310,682.99/411,392.94
  6. Step 6: Final answer
    x = 190,592.26

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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.