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Finding the Fourth Proportional to 512,677.64, 769,034.92 and 192,800.18

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Solution

The fourth proportional to 512,677.64, 769,034.92 and 192,800.18 is: 289,207.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,677.64 : 769,034.92 = 192,800.18 : x
  2. Step 2: Convert to fraction form
    512,677.64/769,034.92 = 192,800.18/x
  3. Step 3: Cross multiply
    512,677.64x = 769,034.92 × 192,800.18
  4. Step 4: Simplify right side
    512,677.64x = 148,270,071,002.29
  5. Step 5: Solve for x
    x = 148,270,071,002.29/512,677.64
  6. Step 6: Final answer
    x = 289,207.21

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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.