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Finding the Fourth Proportional to 643,804.80, 965,707.20 and 475,843.20

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Solution

The fourth proportional to 643,804.80, 965,707.20 and 475,843.20 is: 713,764.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,804.80 : 965,707.20 = 475,843.20 : x
  2. Step 2: Convert to fraction form
    643,804.80/965,707.20 = 475,843.20/x
  3. Step 3: Cross multiply
    643,804.80x = 965,707.20 × 475,843.20
  4. Step 4: Simplify right side
    643,804.80x = 459,525,204,311.04
  5. Step 5: Solve for x
    x = 459,525,204,311.04/643,804.80
  6. Step 6: Final answer
    x = 713,764.80

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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.