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Finding the Fourth Proportional to 644,436.60, 967,687.65 and 512,414.70

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Solution

The fourth proportional to 644,436.60, 967,687.65 and 512,414.70 is: 769,443.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,436.60 : 967,687.65 = 512,414.70 : x
  2. Step 2: Convert to fraction form
    644,436.60/967,687.65 = 512,414.70/x
  3. Step 3: Cross multiply
    644,436.60x = 967,687.65 × 512,414.70
  4. Step 4: Simplify right side
    644,436.60x = 495,857,376,868.46
  5. Step 5: Solve for x
    x = 495,857,376,868.46/644,436.60
  6. Step 6: Final answer
    x = 769,443.23

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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.