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Finding the Fourth Proportional to 643,806.80, 965,710.20 and 475,845.20

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Solution

The fourth proportional to 643,806.80, 965,710.20 and 475,845.20 is: 713,767.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,806.80 : 965,710.20 = 475,845.20 : x
  2. Step 2: Convert to fraction form
    643,806.80/965,710.20 = 475,845.20/x
  3. Step 3: Cross multiply
    643,806.80x = 965,710.20 × 475,845.20
  4. Step 4: Simplify right side
    643,806.80x = 459,528,563,261.04
  5. Step 5: Solve for x
    x = 459,528,563,261.04/643,806.80
  6. Step 6: Final answer
    x = 713,767.80

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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.