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Finding the Fourth Proportional to 411,391.30, 617,164.21 and 186,767.57

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Solution

The fourth proportional to 411,391.30, 617,164.21 and 186,767.57 is: 280,186.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,391.30 : 617,164.21 = 186,767.57 : x
  2. Step 2: Convert to fraction form
    411,391.30/617,164.21 = 186,767.57/x
  3. Step 3: Cross multiply
    411,391.30x = 617,164.21 × 186,767.57
  4. Step 4: Simplify right side
    411,391.30x = 115,266,259,792.67
  5. Step 5: Solve for x
    x = 115,266,259,792.67/411,391.30
  6. Step 6: Final answer
    x = 280,186.43

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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.