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Finding the Fourth Proportional to 494,461.80, 739,724.40 and 428,633.10

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Solution

The fourth proportional to 494,461.80, 739,724.40 and 428,633.10 is: 641,243.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,461.80 : 739,724.40 = 428,633.10 : x
  2. Step 2: Convert to fraction form
    494,461.80/739,724.40 = 428,633.10/x
  3. Step 3: Cross multiply
    494,461.80x = 739,724.40 × 428,633.10
  4. Step 4: Simplify right side
    494,461.80x = 317,070,362,717.64
  5. Step 5: Solve for x
    x = 317,070,362,717.64/494,461.80
  6. Step 6: Final answer
    x = 641,243.39

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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.