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Finding the Fourth Proportional to 516,104.58, 774,410.51 and 231,995.87

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Solution

The fourth proportional to 516,104.58, 774,410.51 and 231,995.87 is: 348,107.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,104.58 : 774,410.51 = 231,995.87 : x
  2. Step 2: Convert to fraction form
    516,104.58/774,410.51 = 231,995.87/x
  3. Step 3: Cross multiply
    516,104.58x = 774,410.51 × 231,995.87
  4. Step 4: Simplify right side
    516,104.58x = 179,660,040,004.59
  5. Step 5: Solve for x
    x = 179,660,040,004.59/516,104.58
  6. Step 6: Final answer
    x = 348,107.82

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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.