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Finding the Fourth Proportional to 294,476.80, 441,719.04 and 84,121.60

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Solution

The fourth proportional to 294,476.80, 441,719.04 and 84,121.60 is: 126,183.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,476.80 : 441,719.04 = 84,121.60 : x
  2. Step 2: Convert to fraction form
    294,476.80/441,719.04 = 84,121.60/x
  3. Step 3: Cross multiply
    294,476.80x = 441,719.04 × 84,121.60
  4. Step 4: Simplify right side
    294,476.80x = 37,158,112,395.26
  5. Step 5: Solve for x
    x = 37,158,112,395.26/294,476.80
  6. Step 6: Final answer
    x = 126,183.50

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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.