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Finding the Fourth Proportional to 284,313.55, 426,617.92 and 115,957.39

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Solution

The fourth proportional to 284,313.55, 426,617.92 and 115,957.39 is: 173,996.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,313.55 : 426,617.92 = 115,957.39 : x
  2. Step 2: Convert to fraction form
    284,313.55/426,617.92 = 115,957.39/x
  3. Step 3: Cross multiply
    284,313.55x = 426,617.92 × 115,957.39
  4. Step 4: Simplify right side
    284,313.55x = 49,469,499,173.99
  5. Step 5: Solve for x
    x = 49,469,499,173.99/284,313.55
  6. Step 6: Final answer
    x = 173,996.28

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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.