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Finding the Fourth Proportional to 294,391.50, 441,591.60 and 84,029.58

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Solution

The fourth proportional to 294,391.50, 441,591.60 and 84,029.58 is: 126,045.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,391.50 : 441,591.60 = 84,029.58 : x
  2. Step 2: Convert to fraction form
    294,391.50/441,591.60 = 84,029.58/x
  3. Step 3: Cross multiply
    294,391.50x = 441,591.60 × 84,029.58
  4. Step 4: Simplify right side
    294,391.50x = 37,106,756,679.53
  5. Step 5: Solve for x
    x = 37,106,756,679.53/294,391.50
  6. Step 6: Final answer
    x = 126,045.61

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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.