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Finding the Fourth Proportional to 519,082.40, 778,769.40 and 252,851.60

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Solution

The fourth proportional to 519,082.40, 778,769.40 and 252,851.60 is: 379,348.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,082.40 : 778,769.40 = 252,851.60 : x
  2. Step 2: Convert to fraction form
    519,082.40/778,769.40 = 252,851.60/x
  3. Step 3: Cross multiply
    519,082.40x = 778,769.40 × 252,851.60
  4. Step 4: Simplify right side
    519,082.40x = 196,913,088,821.04
  5. Step 5: Solve for x
    x = 196,913,088,821.04/519,082.40
  6. Step 6: Final answer
    x = 379,348.42

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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.