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Finding the Fourth Proportional to 293,866.96, 440,541.96 and 116,498.56

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Solution

The fourth proportional to 293,866.96, 440,541.96 and 116,498.56 is: 174,645.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,866.96 : 440,541.96 = 116,498.56 : x
  2. Step 2: Convert to fraction form
    293,866.96/440,541.96 = 116,498.56/x
  3. Step 3: Cross multiply
    293,866.96x = 440,541.96 × 116,498.56
  4. Step 4: Simplify right side
    293,866.96x = 51,322,503,959.58
  5. Step 5: Solve for x
    x = 51,322,503,959.58/293,866.96
  6. Step 6: Final answer
    x = 174,645.37

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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.