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Finding the Fourth Proportional to 643,908.70, 965,863.05 and 405,963.10

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Solution

The fourth proportional to 643,908.70, 965,863.05 and 405,963.10 is: 608,944.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,908.70 : 965,863.05 = 405,963.10 : x
  2. Step 2: Convert to fraction form
    643,908.70/965,863.05 = 405,963.10/x
  3. Step 3: Cross multiply
    643,908.70x = 965,863.05 × 405,963.10
  4. Step 4: Simplify right side
    643,908.70x = 392,104,757,953.46
  5. Step 5: Solve for x
    x = 392,104,757,953.46/643,908.70
  6. Step 6: Final answer
    x = 608,944.65

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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.