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Finding the Fourth Proportional to 345,216.94, 476,399.44 and 202,004.48

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Solution

The fourth proportional to 345,216.94, 476,399.44 and 202,004.48 is: 278,766.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,216.94 : 476,399.44 = 202,004.48 : x
  2. Step 2: Convert to fraction form
    345,216.94/476,399.44 = 202,004.48/x
  3. Step 3: Cross multiply
    345,216.94x = 476,399.44 × 202,004.48
  4. Step 4: Simplify right side
    345,216.94x = 96,234,822,593.00
  5. Step 5: Solve for x
    x = 96,234,822,593.00/345,216.94
  6. Step 6: Final answer
    x = 278,766.23

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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.