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Finding the Fourth Proportional to 643,810.80, 965,716.20 and 477,922.80

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Solution

The fourth proportional to 643,810.80, 965,716.20 and 477,922.80 is: 716,884.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,810.80 : 965,716.20 = 477,922.80 : x
  2. Step 2: Convert to fraction form
    643,810.80/965,716.20 = 477,922.80/x
  3. Step 3: Cross multiply
    643,810.80x = 965,716.20 × 477,922.80
  4. Step 4: Simplify right side
    643,810.80x = 461,537,790,309.36
  5. Step 5: Solve for x
    x = 461,537,790,309.36/643,810.80
  6. Step 6: Final answer
    x = 716,884.20

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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.