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Finding the Fourth Proportional to 643,411.60, 965,731.80 and 550,022.80

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Solution

The fourth proportional to 643,411.60, 965,731.80 and 550,022.80 is: 825,559.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,411.60 : 965,731.80 = 550,022.80 : x
  2. Step 2: Convert to fraction form
    643,411.60/965,731.80 = 550,022.80/x
  3. Step 3: Cross multiply
    643,411.60x = 965,731.80 × 550,022.80
  4. Step 4: Simplify right side
    643,411.60x = 531,174,508,685.04
  5. Step 5: Solve for x
    x = 531,174,508,685.04/643,411.60
  6. Step 6: Final answer
    x = 825,559.42

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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.