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Finding the Fourth Proportional to 411,811.91, 617,573.13 and 123,537.59

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Solution

The fourth proportional to 411,811.91, 617,573.13 and 123,537.59 is: 185,262.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,811.91 : 617,573.13 = 123,537.59 : x
  2. Step 2: Convert to fraction form
    411,811.91/617,573.13 = 123,537.59/x
  3. Step 3: Cross multiply
    411,811.91x = 617,573.13 × 123,537.59
  4. Step 4: Simplify right side
    411,811.91x = 76,293,496,128.96
  5. Step 5: Solve for x
    x = 76,293,496,128.96/411,811.91
  6. Step 6: Final answer
    x = 185,262.97

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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.