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Finding the Fourth Proportional to 468,764.43, 646,861.32 and 275,180.00

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Solution

The fourth proportional to 468,764.43, 646,861.32 and 275,180.00 is: 379,728.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,764.43 : 646,861.32 = 275,180.00 : x
  2. Step 2: Convert to fraction form
    468,764.43/646,861.32 = 275,180.00/x
  3. Step 3: Cross multiply
    468,764.43x = 646,861.32 × 275,180.00
  4. Step 4: Simplify right side
    468,764.43x = 178,003,298,260.95
  5. Step 5: Solve for x
    x = 178,003,298,260.95/468,764.43
  6. Step 6: Final answer
    x = 379,728.68

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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.