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Finding the Fourth Proportional to 294,078.60, 441,120.54 and 83,716.44

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Solution

The fourth proportional to 294,078.60, 441,120.54 and 83,716.44 is: 125,575.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,078.60 : 441,120.54 = 83,716.44 : x
  2. Step 2: Convert to fraction form
    294,078.60/441,120.54 = 83,716.44/x
  3. Step 3: Cross multiply
    294,078.60x = 441,120.54 × 83,716.44
  4. Step 4: Simplify right side
    294,078.60x = 36,929,041,219.68
  5. Step 5: Solve for x
    x = 36,929,041,219.68/294,078.60
  6. Step 6: Final answer
    x = 125,575.41

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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.