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Finding the Fourth Proportional to 284,635.62, 392,978.30 and 177,363.27

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Solution

The fourth proportional to 284,635.62, 392,978.30 and 177,363.27 is: 244,874.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,635.62 : 392,978.30 = 177,363.27 : x
  2. Step 2: Convert to fraction form
    284,635.62/392,978.30 = 177,363.27/x
  3. Step 3: Cross multiply
    284,635.62x = 392,978.30 × 177,363.27
  4. Step 4: Simplify right side
    284,635.62x = 69,699,915,440.22
  5. Step 5: Solve for x
    x = 69,699,915,440.22/284,635.62
  6. Step 6: Final answer
    x = 244,874.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.