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Finding the Fourth Proportional to 293,951.81, 441,026.13 and 116,509.57

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Solution

The fourth proportional to 293,951.81, 441,026.13 and 116,509.57 is: 174,803.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,951.81 : 441,026.13 = 116,509.57 : x
  2. Step 2: Convert to fraction form
    293,951.81/441,026.13 = 116,509.57/x
  3. Step 3: Cross multiply
    293,951.81x = 441,026.13 × 116,509.57
  4. Step 4: Simplify right side
    293,951.81x = 51,383,764,765.06
  5. Step 5: Solve for x
    x = 51,383,764,765.06/293,951.81
  6. Step 6: Final answer
    x = 174,803.36

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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.