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Finding the Fourth Proportional to 632,033.38, 872,206.08 and 345,553.48

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Solution

The fourth proportional to 632,033.38, 872,206.08 and 345,553.48 is: 476,863.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,033.38 : 872,206.08 = 345,553.48 : x
  2. Step 2: Convert to fraction form
    632,033.38/872,206.08 = 345,553.48/x
  3. Step 3: Cross multiply
    632,033.38x = 872,206.08 × 345,553.48
  4. Step 4: Simplify right side
    632,033.38x = 301,393,846,221.16
  5. Step 5: Solve for x
    x = 301,393,846,221.16/632,033.38
  6. Step 6: Final answer
    x = 476,863.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.