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Finding the Fourth Proportional to 284,622.83, 392,960.66 and 177,350.48

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Solution

The fourth proportional to 284,622.83, 392,960.66 and 177,350.48 is: 244,856.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,622.83 : 392,960.66 = 177,350.48 : x
  2. Step 2: Convert to fraction form
    284,622.83/392,960.66 = 177,350.48/x
  3. Step 3: Cross multiply
    284,622.83x = 392,960.66 × 177,350.48
  4. Step 4: Simplify right side
    284,622.83x = 69,691,758,820.56
  5. Step 5: Solve for x
    x = 69,691,758,820.56/284,622.83
  6. Step 6: Final answer
    x = 244,856.54

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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.