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Finding the Fourth Proportional to 516,969.83, 774,976.83 and 277,250.36

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Solution

The fourth proportional to 516,969.83, 774,976.83 and 277,250.36 is: 415,619.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,969.83 : 774,976.83 = 277,250.36 : x
  2. Step 2: Convert to fraction form
    516,969.83/774,976.83 = 277,250.36/x
  3. Step 3: Cross multiply
    516,969.83x = 774,976.83 × 277,250.36
  4. Step 4: Simplify right side
    516,969.83x = 214,862,601,234.28
  5. Step 5: Solve for x
    x = 214,862,601,234.28/516,969.83
  6. Step 6: Final answer
    x = 415,619.23

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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.