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Finding the Fourth Proportional to 411,827.29, 617,596.16 and 123,552.97

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Solution

The fourth proportional to 411,827.29, 617,596.16 and 123,552.97 is: 185,286.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,827.29 : 617,596.16 = 123,552.97 : x
  2. Step 2: Convert to fraction form
    411,827.29/617,596.16 = 123,552.97/x
  3. Step 3: Cross multiply
    411,827.29x = 617,596.16 × 123,552.97
  4. Step 4: Simplify right side
    411,827.29x = 76,305,837,666.84
  5. Step 5: Solve for x
    x = 76,305,837,666.84/411,827.29
  6. Step 6: Final answer
    x = 185,286.02

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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.