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Finding the Fourth Proportional to 411,481.14, 617,245.79 and 158,762.97

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Solution

The fourth proportional to 411,481.14, 617,245.79 and 158,762.97 is: 238,153.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,481.14 : 617,245.79 = 158,762.97 : x
  2. Step 2: Convert to fraction form
    411,481.14/617,245.79 = 158,762.97/x
  3. Step 3: Cross multiply
    411,481.14x = 617,245.79 × 158,762.97
  4. Step 4: Simplify right side
    411,481.14x = 97,995,774,046.58
  5. Step 5: Solve for x
    x = 97,995,774,046.58/411,481.14
  6. Step 6: Final answer
    x = 238,153.74

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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.