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Finding the Fourth Proportional to 294,470.76, 441,736.78 and 81,238.68

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Solution

The fourth proportional to 294,470.76, 441,736.78 and 81,238.68 is: 121,866.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,470.76 : 441,736.78 = 81,238.68 : x
  2. Step 2: Convert to fraction form
    294,470.76/441,736.78 = 81,238.68/x
  3. Step 3: Cross multiply
    294,470.76x = 441,736.78 × 81,238.68
  4. Step 4: Simplify right side
    294,470.76x = 35,886,112,914.65
  5. Step 5: Solve for x
    x = 35,886,112,914.65/294,470.76
  6. Step 6: Final answer
    x = 121,866.47

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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.