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Finding the Fourth Proportional to 512,419, 707,084.50 and 297,517.08

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Solution

The fourth proportional to 512,419, 707,084.50 and 297,517.08 is: 410,542.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,419 : 707,084.50 = 297,517.08 : x
  2. Step 2: Convert to fraction form
    512,419/707,084.50 = 297,517.08/x
  3. Step 3: Cross multiply
    512,419x = 707,084.50 × 297,517.08
  4. Step 4: Simplify right side
    512,419x = 210,369,715,753.26
  5. Step 5: Solve for x
    x = 210,369,715,753.26/512,419
  6. Step 6: Final answer
    x = 410,542.38

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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.