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Finding the Fourth Proportional to 411,663.12, 617,408.28 and 116,106

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Solution

The fourth proportional to 411,663.12, 617,408.28 and 116,106 is: 174,134.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,663.12 : 617,408.28 = 116,106 : x
  2. Step 2: Convert to fraction form
    411,663.12/617,408.28 = 116,106/x
  3. Step 3: Cross multiply
    411,663.12x = 617,408.28 × 116,106
  4. Step 4: Simplify right side
    411,663.12x = 71,684,805,757.68
  5. Step 5: Solve for x
    x = 71,684,805,757.68/411,663.12
  6. Step 6: Final answer
    x = 174,134.63

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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.