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Finding the Fourth Proportional to 499,821.30, 689,771.70 and 284,959.08

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Solution

The fourth proportional to 499,821.30, 689,771.70 and 284,959.08 is: 393,253.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,821.30 : 689,771.70 = 284,959.08 : x
  2. Step 2: Convert to fraction form
    499,821.30/689,771.70 = 284,959.08/x
  3. Step 3: Cross multiply
    499,821.30x = 689,771.70 × 284,959.08
  4. Step 4: Simplify right side
    499,821.30x = 196,556,709,042.04
  5. Step 5: Solve for x
    x = 196,556,709,042.04/499,821.30
  6. Step 6: Final answer
    x = 393,253.97

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