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Finding the Fourth Proportional to 284,659.20, 426,997.44 and 97,668

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Solution

The fourth proportional to 284,659.20, 426,997.44 and 97,668 is: 146,504.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,659.20 : 426,997.44 = 97,668 : x
  2. Step 2: Convert to fraction form
    284,659.20/426,997.44 = 97,668/x
  3. Step 3: Cross multiply
    284,659.20x = 426,997.44 × 97,668
  4. Step 4: Simplify right side
    284,659.20x = 41,703,985,969.92
  5. Step 5: Solve for x
    x = 41,703,985,969.92/284,659.20
  6. Step 6: Final answer
    x = 146,504.96

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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.