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Finding the Fourth Proportional to 294,431.41, 441,647.26 and 94,751.78

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Solution

The fourth proportional to 294,431.41, 441,647.26 and 94,751.78 is: 142,127.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,431.41 : 441,647.26 = 94,751.78 : x
  2. Step 2: Convert to fraction form
    294,431.41/441,647.26 = 94,751.78/x
  3. Step 3: Cross multiply
    294,431.41x = 441,647.26 × 94,751.78
  4. Step 4: Simplify right side
    294,431.41x = 41,846,861,838.50
  5. Step 5: Solve for x
    x = 41,846,861,838.50/294,431.41
  6. Step 6: Final answer
    x = 142,127.71

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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.